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All the ideas for 'Being and Time', 'The Modularity of Mind' and 'Foundations without Foundationalism'

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88 ideas

1. Philosophy / H. Continental Philosophy / 2. Phenomenology
Being-in-the-world is projection to possibilities, thrownness among them, and fallenness within them [Heidegger, by Caputo]
     Full Idea: Being-in-the-world is a phenomenon of 'care' with a tripartite structure: a) projection towards its possibilities, b) thrownness among those possibilities, so Dasein is not free, and c) fallenness among worldly possibilities, to neglect of its own.
     From: report of Martin Heidegger (Being and Time [1927]) by John D. Caputo - Heidegger p.227
     A reaction: Sounds a bit Californian to me. Just living among the world's possibilities is evidently a bad thing, because you could be concentrating on yourself and your own development instead?
Pheomenology seeks things themselves, without empty theories, problems and concepts [Heidegger]
     Full Idea: 'Phenomenology' can be formulated as 'To the things themselves!' It is opposed to all free-floating constructions and accidental findings, and to conceptions which only seem to have been demonstrated. It is opposed to traditiona' pseudo-problems.
     From: Martin Heidegger (Being and Time [1927], Intro II.07)
     A reaction: It sounds as if we are invited to look at the world the way a dog might look at it. I am not at all clear what it to be gained from this approach.
2. Reason / A. Nature of Reason / 2. Logos
'Logos' really means 'making something manifest' [Heidegger, by Polt]
     Full Idea: Heidegger concludes that 'logos' essentially means 'making something manifest'.
     From: report of Martin Heidegger (Being and Time [1927], 56/33) by Richard Polt - Heidegger: an introduction 3.§7
     A reaction: It would at least seem to involve revealing the truth of something, though truth doesn't seem to be central to Heidegger's thought. 'Logos' is often translated as 'an account', as well as a 'reason', so Heidegger may be right.
3. Truth / A. Truth Problems / 9. Rejecting Truth
Heidegger says truth is historical, and never absolute [Heidegger, by Polt]
     Full Idea: Heidegger is a relentless enemy of ahistorical, absolutist concepts of truth.
     From: report of Martin Heidegger (Being and Time [1927]) by Richard Polt - Heidegger: an introduction 1
     A reaction: I presume that if truth is not absolute then it must be relative, but Polt is a little coy about saying so. For me, anyone who says truth is relative doesn't understand the concept, and is talking about something else.
3. Truth / F. Semantic Truth / 1. Tarski's Truth / b. Satisfaction and truth
Satisfaction is 'truth in a model', which is a model of 'truth' [Shapiro]
     Full Idea: In a sense, satisfaction is the notion of 'truth in a model', and (as Hodes 1984 elegantly puts it) 'truth in a model' is a model of 'truth'.
     From: Stewart Shapiro (Foundations without Foundationalism [1991], 1.1)
     A reaction: So we can say that Tarski doesn't offer a definition of truth itself, but replaces it with a 'model' of truth.
4. Formal Logic / A. Syllogistic Logic / 1. Aristotelian Logic
Aristotelian logic is complete [Shapiro]
     Full Idea: Aristotelian logic is complete.
     From: Stewart Shapiro (Foundations without Foundationalism [1991], 2.5)
     A reaction: [He cites Corcoran 1972]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / a. Types of set
A set is 'transitive' if contains every member of each of its members [Shapiro]
     Full Idea: If, for every b∈d, a∈b entails that a∈d, the d is said to be 'transitive'. In other words, d is transitive if it contains every member of each of its members.
     From: Stewart Shapiro (Foundations without Foundationalism [1991], 4.2)
     A reaction: The alternative would be that the members of the set are subsets, but the members of those subsets are not themselves members of the higher-level set.
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
Choice is essential for proving downward Löwenheim-Skolem [Shapiro]
     Full Idea: The axiom of choice is essential for proving the downward Löwenheim-Skolem Theorem.
     From: Stewart Shapiro (Foundations without Foundationalism [1991], 4.1)
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / a. Sets as existing
Are sets part of logic, or part of mathematics? [Shapiro]
     Full Idea: Is there a notion of set in the jurisdiction of logic, or does it belong to mathematics proper?
     From: Stewart Shapiro (Foundations without Foundationalism [1991], Pref)
     A reaction: It immediately strikes me that they might be neither. I don't see that relations between well-defined groups of things must involve number, and I don't see that mapping the relations must intrinsically involve logical consequence or inference.
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
Russell's paradox shows that there are classes which are not iterative sets [Shapiro]
     Full Idea: The argument behind Russell's paradox shows that in set theory there are logical sets (i.e. classes) that are not iterative sets.
     From: Stewart Shapiro (Foundations without Foundationalism [1991], 1.3)
     A reaction: In his preface, Shapiro expresses doubts about the idea of a 'logical set'. Hence the theorists like the iterative hierarchy because it is well-founded and under control, not because it is comprehensive in scope. See all of pp.19-20.
It is central to the iterative conception that membership is well-founded, with no infinite descending chains [Shapiro]
     Full Idea: In set theory it is central to the iterative conception that the membership relation is well-founded, ...which means there are no infinite descending chains from any relation.
     From: Stewart Shapiro (Foundations without Foundationalism [1991], 5.1.4)
Iterative sets are not Boolean; the complement of an iterative set is not an iterative sets [Shapiro]
     Full Idea: Iterative sets do not exhibit a Boolean structure, because the complement of an iterative set is not itself an iterative set.
     From: Stewart Shapiro (Foundations without Foundationalism [1991], 7.1)
4. Formal Logic / F. Set Theory ST / 6. Ordering in Sets
'Well-ordering' of a set is an irreflexive, transitive, and binary relation with a least element [Shapiro]
     Full Idea: A 'well-ordering' of a set X is an irreflexive, transitive, and binary relation on X in which every non-empty subset of X has a least element.
     From: Stewart Shapiro (Foundations without Foundationalism [1991], 5.1.3)
     A reaction: So there is a beginning, an ongoing sequence, and no retracing of steps.
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
Logic is the ideal for learning new propositions on the basis of others [Shapiro]
     Full Idea: A logic can be seen as the ideal of what may be called 'relative justification', the process of coming to know some propositions on the basis of others.
     From: Stewart Shapiro (Foundations without Foundationalism [1991], 2.3.1)
     A reaction: This seems to be the modern idea of logic, as opposed to identification of a set of 'logical truths' from which eternal necessities (such as mathematics) can be derived. 'Know' implies that they are true - which conclusions may not be.
There is no 'correct' logic for natural languages [Shapiro]
     Full Idea: There is no question of finding the 'correct' or 'true' logic underlying a part of natural language.
     From: Stewart Shapiro (Foundations without Foundationalism [1991], Pref)
     A reaction: One needs the context of Shapiro's defence of second-order logic to see his reasons for this. Call me romantic, but I retain faith that there is one true logic. The Kennedy Assassination problem - can't see the truth because drowning in evidence.
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
Bernays (1918) formulated and proved the completeness of propositional logic [Shapiro]
     Full Idea: Bernays (1918) formulated and proved the completeness of propositional logic, the first precise solution as part of the Hilbert programme.
     From: Stewart Shapiro (Foundations without Foundationalism [1991], 7.2.1)
Can one develop set theory first, then derive numbers, or are numbers more basic? [Shapiro]
     Full Idea: In 1910 Weyl observed that set theory seemed to presuppose natural numbers, and he regarded numbers as more fundamental than sets, as did Fraenkel. Dedekind had developed set theory independently, and used it to formulate numbers.
     From: Stewart Shapiro (Foundations without Foundationalism [1991], 7.2.2)
Skolem and Gödel championed first-order, and Zermelo, Hilbert, and Bernays championed higher-order [Shapiro]
     Full Idea: Skolem and Gödel were the main proponents of first-order languages. The higher-order language 'opposition' was championed by Zermelo, Hilbert, and Bernays.
     From: Stewart Shapiro (Foundations without Foundationalism [1991], 7.2)
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
The 'triumph' of first-order logic may be related to logicism and the Hilbert programme, which failed [Shapiro]
     Full Idea: The 'triumph' of first-order logic may be related to the remnants of failed foundationalist programmes early this century - logicism and the Hilbert programme.
     From: Stewart Shapiro (Foundations without Foundationalism [1991], Pref)
     A reaction: Being complete must also be one of its attractions, and Quine seems to like it because of its minimal ontological commitment.
Maybe compactness, semantic effectiveness, and the Löwenheim-Skolem properties are desirable [Shapiro]
     Full Idea: Tharp (1975) suggested that compactness, semantic effectiveness, and the Löwenheim-Skolem properties are consequences of features one would want a logic to have.
     From: Stewart Shapiro (Foundations without Foundationalism [1991], 6.5)
     A reaction: I like this proposal, though Shapiro is strongly against. We keep extending our logic so that we can prove new things, but why should we assume that we can prove everything? That's just what Gödel suggests that we should give up on.
First-order logic was an afterthought in the development of modern logic [Shapiro]
     Full Idea: Almost all the systems developed in the first part of the twentieth century are higher-order; first-order logic was an afterthought.
     From: Stewart Shapiro (Foundations without Foundationalism [1991], 7.1)
The notion of finitude is actually built into first-order languages [Shapiro]
     Full Idea: The notion of finitude is explicitly 'built in' to the systems of first-order languages in one way or another.
     From: Stewart Shapiro (Foundations without Foundationalism [1991], 9.1)
     A reaction: Personally I am inclined to think that they are none the worse for that. No one had even thought of all these lovely infinities before 1870, and now we are supposed to change our logic (our actual logic!) to accommodate them. Cf quantum logic.
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Henkin semantics has separate variables ranging over the relations and over the functions [Shapiro]
     Full Idea: In 'Henkin' semantics, in a given model the relation variables range over a fixed collection of relations D on the domain, and the function variables range over a collection of functions F on the domain.
     From: Stewart Shapiro (Foundations without Foundationalism [1991], 3.3)
Second-order logic is better than set theory, since it only adds relations and operations, and nothing else [Shapiro, by Lavine]
     Full Idea: Shapiro preferred second-order logic to set theory because second-order logic refers only to the relations and operations in a domain, and not to the other things that set-theory brings with it - other domains, higher-order relations, and so forth.
     From: report of Stewart Shapiro (Foundations without Foundationalism [1991]) by Shaughan Lavine - Understanding the Infinite VII.4
In standard semantics for second-order logic, a single domain fixes the ranges for the variables [Shapiro]
     Full Idea: In the standard semantics of second-order logic, by fixing a domain one thereby fixes the range of both the first-order variables and the second-order variables. There is no further 'interpreting' to be done.
     From: Stewart Shapiro (Foundations without Foundationalism [1991], 3.3)
     A reaction: This contrasts with 'Henkin' semantics (Idea 13650), or first-order semantics, which involve more than one domain of quantification.
Completeness, Compactness and Löwenheim-Skolem fail in second-order standard semantics [Shapiro]
     Full Idea: The counterparts of Completeness, Compactness and the Löwenheim-Skolem theorems all fail for second-order languages with standard semantics, but hold for Henkin or first-order semantics. Hence such logics are much like first-order logic.
     From: Stewart Shapiro (Foundations without Foundationalism [1991], 4.1)
     A reaction: Shapiro votes for the standard semantics, because he wants the greater expressive power, especially for the characterization of infinite structures.
Broad standard semantics, or Henkin semantics with a subclass, or many-sorted first-order semantics? [Shapiro]
     Full Idea: Three systems of semantics for second-order languages: 'standard semantics' (variables cover all relations and functions), 'Henkin semantics' (relations and functions are a subclass) and 'first-order semantics' (many-sorted domains for variable-types).
     From: Stewart Shapiro (Foundations without Foundationalism [1991], Pref)
     A reaction: [my summary]
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
If a logic is incomplete, its semantic consequence relation is not effective [Shapiro]
     Full Idea: Second-order logic is inherently incomplete, so its semantic consequence relation is not effective.
     From: Stewart Shapiro (Foundations without Foundationalism [1991], 1.2.1)
Semantic consequence is ineffective in second-order logic [Shapiro]
     Full Idea: It follows from Gödel's incompleteness theorem that the semantic consequence relation of second-order logic is not effective. For example, the set of logical truths of any second-order logic is not recursively enumerable. It is not even arithmetic.
     From: Stewart Shapiro (Foundations without Foundationalism [1991], Pref)
     A reaction: I don't fully understand this, but it sounds rather major, and a good reason to avoid second-order logic (despite Shapiro's proselytising). See Peter Smith on 'effectively enumerable'.
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
Finding the logical form of a sentence is difficult, and there are no criteria of correctness [Shapiro]
     Full Idea: It is sometimes difficult to find a formula that is a suitable counterpart of a particular sentence of natural language, and there is no acclaimed criterion for what counts as a good, or even acceptable, 'translation'.
     From: Stewart Shapiro (Foundations without Foundationalism [1991], 1.1)
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
We might reduce ontology by using truth of sentences and terms, instead of using objects satisfying models [Shapiro]
     Full Idea: The main role of substitutional semantics is to reduce ontology. As an alternative to model-theoretic semantics for formal languages, the idea is to replace the 'satisfaction' relation of formulas (by objects) with the 'truth' of sentences (using terms).
     From: Stewart Shapiro (Foundations without Foundationalism [1991], 9.1.4)
     A reaction: I find this very appealing, and Ruth Barcan Marcus is the person to look at. My intuition is that logic should have no ontology at all, as it is just about how inference works, not about how things are. Shapiro offers a compromise.
5. Theory of Logic / I. Semantics of Logic / 4. Satisfaction
'Satisfaction' is a function from models, assignments, and formulas to {true,false} [Shapiro]
     Full Idea: The 'satisfaction' relation may be thought of as a function from models, assignments, and formulas to the truth values {true,false}.
     From: Stewart Shapiro (Foundations without Foundationalism [1991], 1.1)
     A reaction: This at least makes clear that satisfaction is not the same as truth. Now you have to understand how Tarski can define truth in terms of satisfaction.
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
Semantics for models uses set-theory [Shapiro]
     Full Idea: Typically, model-theoretic semantics is formulated in set theory.
     From: Stewart Shapiro (Foundations without Foundationalism [1991], 2.5.1)
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
An axiomatization is 'categorical' if its models are isomorphic, so there is really only one interpretation [Shapiro]
     Full Idea: An axiomatization is 'categorical' if all its models are isomorphic to one another; ..hence it has 'essentially only one' interpretation [Veblen 1904].
     From: Stewart Shapiro (Foundations without Foundationalism [1991], 1.2.1)
Categoricity can't be reached in a first-order language [Shapiro]
     Full Idea: Categoricity cannot be attained in a first-order language.
     From: Stewart Shapiro (Foundations without Foundationalism [1991], 7.3)
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
The Löwenheim-Skolem theorems show an explosion of infinite models, so 1st-order is useless for infinity [Shapiro]
     Full Idea: The Löwenheim-Skolem theorems mean that no first-order theory with an infinite model is categorical. If Γ has an infinite model, then it has a model of every infinite cardinality. So first-order languages cannot characterize infinite structures.
     From: Stewart Shapiro (Foundations without Foundationalism [1991], 4.1)
     A reaction: So much of the debate about different logics hinges on characterizing 'infinite structures' - whatever they are! Shapiro is a leading structuralist in mathematics, so he wants second-order logic to help with his project.
Downward Löwenheim-Skolem: each satisfiable countable set always has countable models [Shapiro]
     Full Idea: A language has the Downward Löwenheim-Skolem property if each satisfiable countable set of sentences has a model whose domain is at most countable.
     From: Stewart Shapiro (Foundations without Foundationalism [1991], 6.5)
     A reaction: This means you can't employ an infinite model to represent a fact about a countable set.
Upward Löwenheim-Skolem: each infinite model has infinite models of all sizes [Shapiro]
     Full Idea: A language has the Upward Löwenheim-Skolem property if for each set of sentences whose model has an infinite domain, then it has a model at least as big as each infinite cardinal.
     From: Stewart Shapiro (Foundations without Foundationalism [1991], 6.5)
     A reaction: This means you can't have a countable model to represent a fact about infinite sets.
Substitutional semantics only has countably many terms, so Upward Löwenheim-Skolem trivially fails [Shapiro]
     Full Idea: The Upward Löwenheim-Skolem theorem fails (trivially) with substitutional semantics. If there are only countably many terms of the language, then there are no uncountable substitution models.
     From: Stewart Shapiro (Foundations without Foundationalism [1991], 9.1.4)
     A reaction: Better and better. See Idea 13674. Why postulate more objects than you can possibly name? I'm even suspicious of all real numbers, because you can't properly define them in finite terms. Shapiro objects that the uncountable can't be characterized.
5. Theory of Logic / K. Features of Logics / 3. Soundness
'Weakly sound' if every theorem is a logical truth; 'sound' if every deduction is a semantic consequence [Shapiro]
     Full Idea: A logic is 'weakly sound' if every theorem is a logical truth, and 'strongly sound', or simply 'sound', if every deduction from Γ is a semantic consequence of Γ. Soundness indicates that the deductive system is faithful to the semantics.
     From: Stewart Shapiro (Foundations without Foundationalism [1991], 1.1)
     A reaction: Similarly, 'weakly complete' is when every logical truth is a theorem.
5. Theory of Logic / K. Features of Logics / 4. Completeness
We can live well without completeness in logic [Shapiro]
     Full Idea: We can live without completeness in logic, and live well.
     From: Stewart Shapiro (Foundations without Foundationalism [1991], Pref)
     A reaction: This is the kind of heady suggestion that American philosophers love to make. Sounds OK to me, though. Our ability to draw good inferences should be expected to outrun our ability to actually prove them. Completeness is for wimps.
5. Theory of Logic / K. Features of Logics / 6. Compactness
Non-compactness is a strength of second-order logic, enabling characterisation of infinite structures [Shapiro]
     Full Idea: It is sometimes said that non-compactness is a defect of second-order logic, but it is a consequence of a crucial strength - its ability to give categorical characterisations of infinite structures.
     From: Stewart Shapiro (Foundations without Foundationalism [1991], Pref)
     A reaction: The dispute between fans of first- and second-order may hinge on their attitude to the infinite. I note that Skolem, who was not keen on the infinite, stuck to first-order. Should we launch a new Skolemite Crusade?
Compactness is derived from soundness and completeness [Shapiro]
     Full Idea: Compactness is a corollary of soundness and completeness. If Γ is not satisfiable, then, by completeness, Γ is not consistent. But the deductions contain only finite premises. So a finite subset shows the inconsistency.
     From: Stewart Shapiro (Foundations without Foundationalism [1991], 4.1)
     A reaction: [this is abbreviated, but a proof of compactness] Since all worthwhile logics are sound, this effectively means that completeness entails compactness.
5. Theory of Logic / K. Features of Logics / 9. Expressibility
A language is 'semantically effective' if its logical truths are recursively enumerable [Shapiro]
     Full Idea: A logical language is 'semantically effective' if the collection of logically true sentences is a recursively enumerable set of strings.
     From: Stewart Shapiro (Foundations without Foundationalism [1991], 6.5)
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
Complex numbers can be defined as reals, which are defined as rationals, then integers, then naturals [Shapiro]
     Full Idea: 'Definitions' of integers as pairs of naturals, rationals as pairs of integers, reals as Cauchy sequences of rationals, and complex numbers as pairs of reals are reductive foundations of various fields.
     From: Stewart Shapiro (Foundations without Foundationalism [1991], 2.1)
     A reaction: On p.30 (bottom) Shapiro objects that in the process of reduction the numbers acquire properties they didn't have before.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers
Only higher-order languages can specify that 0,1,2,... are all the natural numbers that there are [Shapiro]
     Full Idea: The main problem of characterizing the natural numbers is to state, somehow, that 0,1,2,.... are all the numbers that there are. We have seen that this can be accomplished with a higher-order language, but not in a first-order language.
     From: Stewart Shapiro (Foundations without Foundationalism [1991], 9.1.4)
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
Natural numbers are the finite ordinals, and integers are equivalence classes of pairs of finite ordinals [Shapiro]
     Full Idea: By convention, the natural numbers are the finite ordinals, the integers are certain equivalence classes of pairs of finite ordinals, etc.
     From: Stewart Shapiro (Foundations without Foundationalism [1991], 9.3)
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
The 'continuum' is the cardinality of the powerset of a denumerably infinite set [Shapiro]
     Full Idea: The 'continuum' is the cardinality of the powerset of a denumerably infinite set.
     From: Stewart Shapiro (Foundations without Foundationalism [1991], 5.1.2)
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
First-order arithmetic can't even represent basic number theory [Shapiro]
     Full Idea: Few theorists consider first-order arithmetic to be an adequate representation of even basic number theory.
     From: Stewart Shapiro (Foundations without Foundationalism [1991], 5 n28)
     A reaction: This will be because of Idea 13656. Even 'basic' number theory will include all sorts of vast infinities, and that seems to be where the trouble is.
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Some sets of natural numbers are definable in set-theory but not in arithmetic [Shapiro]
     Full Idea: There are sets of natural numbers definable in set-theory but not in arithmetic.
     From: Stewart Shapiro (Foundations without Foundationalism [1991], 5.3.3)
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
Logicism is distinctive in seeking a universal language, and denying that logic is a series of abstractions [Shapiro]
     Full Idea: It is claimed that aiming at a universal language for all contexts, and the thesis that logic does not involve a process of abstraction, separates the logicists from algebraists and mathematicians, and also from modern model theory.
     From: Stewart Shapiro (Foundations without Foundationalism [1991], 7.1)
     A reaction: I am intuitively drawn to the idea that logic is essentially the result of a series of abstractions, so this gives me a further reason not to be a logicist. Shapiro cites Goldfarb 1979 and van Heijenoort 1967. Logicists reduce abstraction to logic.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Mathematics and logic have no border, and logic must involve mathematics and its ontology [Shapiro]
     Full Idea: I extend Quinean holism to logic itself; there is no sharp border between mathematics and logic, especially the logic of mathematics. One cannot expect to do logic without incorporating some mathematics and accepting at least some of its ontology.
     From: Stewart Shapiro (Foundations without Foundationalism [1991], Pref)
     A reaction: I have strong sales resistance to this proposal. Mathematics may have hijacked logic and warped it for its own evil purposes, but if logic is just the study of inferences then it must be more general than to apply specifically to mathematics.
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
Some reject formal properties if they are not defined, or defined impredicatively [Shapiro]
     Full Idea: Some authors (Poincaré and Russell, for example) were disposed to reject properties that are not definable, or are definable only impredicatively.
     From: Stewart Shapiro (Foundations without Foundationalism [1991], 7.1)
     A reaction: I take Quine to be the culmination of this line of thought, with his general rejection of 'attributes' in logic and in metaphysics.
7. Existence / A. Nature of Existence / 3. Being / a. Nature of Being
Reducing being to the study of beings too readily accepts the modern scientific view [Heidegger, by May]
     Full Idea: Continental philosophers, following Heidegger, see in the attempt to reduce the question of being to that of beings a symptom of an age that is too ready to accept the terms in which science conceives the world.
     From: report of Martin Heidegger (Being and Time [1927]) by Todd May - Gilles Deleuze 1.04
     A reaction: Interesting. I take the idea that this is a failing of the modern age to be ridiculous, since I take it to be the key metaphysical move made by Aristotle. Neverthless, Aristotle is closely in tune with modern science. For 'beings', read 'objects'.
For us, Being is constituted by awareness of other sorts of Being [Heidegger]
     Full Idea: We are Dasein - the entity who possesses - as constitutive for its understanding of existence - an understanding of the Being of all entities of a character other than its own.
     From: Martin Heidegger (Being and Time [1927], 34/13), quoted by Richard Polt - Heidegger: an introduction 3.§4
     A reaction: This seems to connect to the emerging 'externalist' view of mind that comes with the external view of content coming from Purnam's Twin Earth idea.
7. Existence / A. Nature of Existence / 3. Being / h. Dasein (being human)
Heidegger turns to 'Being' to affirm the uniqueness of humans in the world [Heidegger, by Gray]
     Full Idea: Heidegger turns to 'Being' for the same reason that Christians turn to God - to affirm the unique place of humans in the world.
     From: report of Martin Heidegger (Being and Time [1927]) by John Gray - Straw Dogs 2.4
     A reaction: This is the first remark I have encountered that makes sense of Heidegger's Being to me! It places Heidegger as a modernist philosopher, trying to grapple with the decline of religion. I'll stick with Bertrand Russell on that.
Dasein is a mode of Being distinguished by concern for its own Being [Heidegger]
     Full Idea: Dasein is an entity which does not just occur among other entities. Rather it is ontically distinguished by the fact that, in its very Being, that Being is an issue for it.
     From: Martin Heidegger (Being and Time [1927], Intro I.04)
     A reaction: How do you distinguish the Being of normal humans from the Being of someone in a deep coma, who has no existential issues? Has that Dasein ceased to be? Why does angst create a new mode of Being, but flying doesn't?
Dasein is ahead of itself in the world, and alongside encountered entities [Heidegger]
     Full Idea: The formal existential totality of Dasein's ontological structural whole is: the Being of Dasein means ahead-of-itself-Being-already-in-(the-world) as Being-alongside (entities encountered within-the-world).
     From: Martin Heidegger (Being and Time [1927], I.6 41)
     A reaction: If you find that thought really illuminating, you are probably on the wrong website. However, the thought that we exist 'ahead of ourselves' might be a fruitful line for existentialists to explore.
In company with others one's Dasein dissolves, and even the others themselves dissolve [Heidegger]
     Full Idea: This being-with-one-another dissolves one's own Dasein completely into the kind of being of 'the others', in such a way, indeed, that the others, as distinguishable and explicit, vanish more and more.
     From: Martin Heidegger (Being and Time [1927], p.164), quoted by Mark Wrathall - Heidegger: how to read 5
     A reaction: He seems to be describing the psychology of someone who joins a small crowd which gradually increases in size. I take this relation to others to be the basic existential dilemma, of retaining individual authenticity within a community.
'Dasein' expresses not 'what' the entity is, but its being [Heidegger]
     Full Idea: When we designate this entity with the term 'Dasein' we are expressing not its 'what' (as if it were a table, house, or tree) but its being.
     From: Martin Heidegger (Being and Time [1927], p.297), quoted by Kevin Aho - Existentialism: an introduction 2 'Phenomenology'
     A reaction: Presumably analytic discussions of persons try to be too objective. Heidegger is trying to capture the thought at the heart of Kierkegaard's existentialism. Objectivity and subjectivity are never in conflict. Is there really a different mode of existence?
The word 'dasein' is used to mean 'the manner of Being which man possesses', and also the human creature [Heidegger, by Cooper,DE]
     Full Idea: Heidegger borrows a common German word 'dasein', meaning 'being' or 'existence', to refer both to 'the manner of Being which... man... possesses', and to the creature which possesses it.
     From: report of Martin Heidegger (Being and Time [1927], p.32) by David E. Cooper - Heidegger Ch.3
     A reaction: This just strikes me as an elementary ontological mistake. Because something has startling properties it doesn't follow that we have a different type of Being. Magnets don't have a different type of being from ordinary iron.
'Dasein' is Being which is laid claim to, and which matters to its owner [Heidegger, by Cooper,DE]
     Full Idea: We each of us not only have Dasein (our kind of Being), but we can lay claim to it. Also the Dasein of a thing 'is an issue for it' - we care about the kinds of creatures we can make ourselves into.
     From: report of Martin Heidegger (Being and Time [1927], p.67) by David E. Cooper - Heidegger Ch.3
     A reaction: Heidegger says other more puzzling things about Dasein. The second half of the idea is what makes Heidegger an existentialist, and an inspiration for Sartre.
Dasein is being which can understand itself, and possess itself in a way allowing authenticity [Heidegger]
     Full Idea: Dasein is an entity which, in its very being, comports itself understandingly towards that being. ...Mineness belongs to an existent Dasein, and belongs to it as the condition which makes authenticity and inauthenticity possible.
     From: Martin Heidegger (Being and Time [1927], p.78), quoted by Mark Wrathall - Heidegger: how to read 1
     A reaction: He might eventually persuade me that Dasein is so different from mere material being that it deserves a category of its own. But a reductive account of mind is also a reductive account of being.
7. Existence / A. Nature of Existence / 6. Criterion for Existence
Ontology is possible only as phenomenology [Heidegger]
     Full Idea: Ontology is possible only as phenomenology.
     From: Martin Heidegger (Being and Time [1927], p.31), quoted by Dale Jacquette - Ontology Ch.1
     A reaction: Jacquette argues against this claim. The idea seems to be the ultimate extension of Kant, and it is not a big move to say that the only real phenomenology we can discuss is our semantics. Wrong, wrong, wrong.
7. Existence / D. Theories of Reality / 3. Reality
Readiness-to-hand defines things in themselves ontologically [Heidegger]
     Full Idea: Readiness-to-hand is the way in which entities as they are 'in themselves' are defined ontologico-categorially.
     From: Martin Heidegger (Being and Time [1927], I.3.15)
     A reaction: I assume this is a direct reference to the problem idealists had with the thing-in-itself. It seems that the reality of a thing consists of the strengthened relationship it has with Dasein, which sounds fairly idealist to me.
8. Modes of Existence / B. Properties / 10. Properties as Predicates
Properties are often seen as intensional; equiangular and equilateral are different, despite identity of objects [Shapiro]
     Full Idea: Properties are often taken to be intensional; equiangular and equilateral are thought to be different properties of triangles, even though any triangle is equilateral if and only if it is equiangular.
     From: Stewart Shapiro (Foundations without Foundationalism [1991], 1.3)
     A reaction: Many logicians seem to want to treat properties as sets of objects (red being just the set of red things), but this looks like a desperate desire to say everything in first-order logic, where only objects are available to quantify over.
9. Objects / D. Essence of Objects / 1. Essences of Objects
Heidegger seeks a non-traditional concept of essence as 'essential unfolding' [Heidegger, by Polt]
     Full Idea: Heidegger tries to develop a non-traditional concept of essence as 'essential unfolding' ('wesen' as a verb).
     From: report of Martin Heidegger (Being and Time [1927], I.4.27) by Richard Polt - Heidegger: an introduction 3.§25-7
11. Knowledge Aims / A. Knowledge / 2. Understanding
Propositions don't provide understanding, because the understanding must come first [Heidegger, by Polt]
     Full Idea: Propositions are not a good clue to the essence of understanding, because we must already understand things before we formulate propositions about them.
     From: report of Martin Heidegger (Being and Time [1927], I.5.31) by Richard Polt - Heidegger: an introduction 3.§31-3
     A reaction: I like this, because I think the most important aspects of our thought and understanding are entirely non-verbal - even in cases where they seem to be highly specific and verbal. We don't understand ourselves at all!
11. Knowledge Aims / B. Certain Knowledge / 5. Cogito Critique
If we posit 'I' as the starting point, we miss the mind's phenomenal content [Heidegger]
     Full Idea: One of our first tasks will be to prove that if we posit an 'I' or subject as that which is proximally given, we shall completely miss the phenomenal content of Dasein.
     From: Martin Heidegger (Being and Time [1927], I.1.10)
     A reaction: Descartes had thrown doubt on the informativeness of the phenomena, so presumably your phenomenologist is not interested in whether they reveal any truth. So why are unreliable phenomena of any interest?
11. Knowledge Aims / C. Knowing Reality / 1. Perceptual Realism / b. Direct realism
Our relationship to a hammer strengthens when we use [Heidegger]
     Full Idea: The less we stare at the hammer-Thing, and the more we seize hold of it and use it, the more primordial does our relationship to it become. ...The kind of Being which equipment possesses... we call 'readiness-to-hand' [Zuhandenheit].
     From: Martin Heidegger (Being and Time [1927], I.3.15)
     A reaction: This example would be well at home in the writings of the pragmatists. It is also an important example for existentialists. In analytic philosophy we might say the experience combines perception with direct exerience of causation.
12. Knowledge Sources / B. Perception / 4. Sense Data / d. Sense-data problems
There are no raw sense-data - our experiences are of the sound or colour of something [Heidegger]
     Full Idea: We always take a noise as the sound of something; we always take a hue as the color of something. We simply do not experience raw, uninterpreted sense-data - these are the inventions of philosophers.
     From: Martin Heidegger (Being and Time [1927], 207/163-4), quoted by Richard Polt - Heidegger: an introduction 3.§31-3
     A reaction: This is something like the modern view of sense-data as promoted by John McDowell, rather than the experiential atoms of Russell and Moore. Experience is holistic, but that doesn't mean we can't analyse it into components.
12. Knowledge Sources / B. Perception / 5. Interpretation
Perceived objects always appear in a context [Heidegger]
     Full Idea: The perceptual 'something' is always in the middle of something else, it always forms part of a 'field'.
     From: Martin Heidegger (Being and Time [1927], p.4), quoted by Kevin Aho - Existentialism: an introduction 3 'Perceptual'
     A reaction: Sounds like our knowledge of electrons. Nice point. Standard analytic discussions of perceiving a glass always treat it in isolation, when it is on an expensive table near a brandy bottle. Or near a hammer.
13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique
The scandal of philosophy is expecting to prove reality when the prover's Being is vague [Heidegger]
     Full Idea: The 'scandal of philosophy' is not that this proof [of external things] has yet to be given, but that such proofs are expected and attempted again and again. ...The kind of Being of the entity which does the proving has not been made definite enough.
     From: Martin Heidegger (Being and Time [1927], I.6.43a)
     A reaction: The 'scandal' was a remark of Kant's. Presumably Heidegger's exploration of Dasein aims to establish the Being of the prover sufficiently to solve this problem (via phenomenology).
15. Nature of Minds / A. Nature of Mind / 1. Mind / b. Purpose of mind
Having thoughts and feelings need engagement in the world [Heidegger, by Wrathall]
     Full Idea: Heidegger argues that having thoughts and feelings is only possible for entity that is actually engaged in the world.
     From: report of Martin Heidegger (Being and Time [1927]) by Mark Wrathall - Heidegger: how to read 1
     A reaction: This seems to be an a priori exclusion of the possibility of a brain in a vat. I guess the ancestor of this idea is Schopenhauer.
15. Nature of Minds / A. Nature of Mind / 4. Other Minds / c. Knowing other minds
Dasein finds itself already amongst others [Heidegger, by Caputo]
     Full Idea: The world is a world shared with others, so that far from being a solipsistic ego ...Dasein finds itself already amongst others.
     From: report of Martin Heidegger (Being and Time [1927]) by John D. Caputo - Heidegger p.226
     A reaction: Phenomenologists don't seem bothered about the problem of knowing other minds. If you take something for granted, it ceases to be a problem to be solved!
If we work and play with other people, they are bound to be 'Dasein', intelligent agents [Heidegger, by Cooper,DE]
     Full Idea: How do I know that other people have minds? The question is a bad one. Precisely because I encounter them at work, play and the like, it is guaranteed that they, too, are Dasein, intelligent agents.
     From: report of Martin Heidegger (Being and Time [1927], p.153-) by David E. Cooper - Heidegger Ch.3
     A reaction: I've seen film of someone playing peek-a-boo with a bonobo ape, so presumably they have Dasein. It might be easier for the AI community to aim at building a robot with Dasein, than one which was simply conscious.
15. Nature of Minds / A. Nature of Mind / 6. Anti-Individualism
When Dasein grasps something it exists externally alongside the thing [Heidegger]
     Full Idea: When Dasein directs itself towards something and grasps it, it does not somehow first get out of an inner sphere in which it has been proximally encapsulated, but its primary kind of Being is such that it is always 'outside' alongside entities.
     From: Martin Heidegger (Being and Time [1927], I.2.13)
     A reaction: This is the first plausible fruit of phenomenology I have been able to discover. Analysing the passive mind is not very promising, but seeing what happens when we become more proactive is revealing.
16. Persons / C. Self-Awareness / 2. Knowing the Self
There is an everyday self, and an authentic self, when it is grasped in its own way [Heidegger]
     Full Idea: The self of everyday Dasein is the they-self [das Man-selbst], which we distinguish from the authentic self - that is, from the Self which has been taken hold of in its own way.
     From: Martin Heidegger (Being and Time [1927], I.4.27)
     A reaction: To a novice this sounds like a requirement for increased self-consciousness during daily activity. 'Be a good animal, true to your animal self' said one of Lawrence's characters.
16. Persons / E. Rejecting the Self / 4. Denial of the Self
Everyone is other, and no one is himself [Heidegger]
     Full Idea: Everyone is other, and no one is himself.
     From: Martin Heidegger (Being and Time [1927], p.165), quoted by Rüdiger Safranski - Nietzsche: a philosophical biography 09
     A reaction: Safranski describes this as the idea of 'structural self-evasion'. He detects the same idea in Nietzsche's 'Daybreak'.
18. Thought / A. Modes of Thought / 3. Emotions / c. Role of emotions
Moods are more fundamentally revealing than theories - as when fear reveals a threat [Heidegger, by Polt]
     Full Idea: For Heidegger moods are disclosive; they show us things in a more fundamental way than theoretical propositions ever can. For example, fear reveals something as a threat.
     From: report of Martin Heidegger (Being and Time [1927], I.5.30) by Richard Polt - Heidegger: an introduction 3.§30
     A reaction: Most modern students of emotion seem to agree. Even though they may not have specific content, it is always possible to consider the underlying cause of the mood.
18. Thought / B. Mechanics of Thought / 3. Modularity of Mind
Mental modules are specialised, automatic, and isolated [Fodor, by Okasha]
     Full Idea: Fodor argues that mental modules have three important featuresL 1) they are domain-specific, 2) their operation is mandatory, 3) they are informationally encapsulated.
     From: report of Jerry A. Fodor (The Modularity of Mind [1983]) by Samir Okasha - Philosophy of Science: Very Short Intro (2nd ed) 6
     A reaction: Mandatory is interesting. When I hear an English sentence I can't decide not to process it. Modules cannot be too isolated or they couldn't participate in the team. Each one needs a comms manager.
22. Metaethics / B. Value / 1. Nature of Value / b. Fact and value
We do not add value to naked things; its involvement is disclosed in understanding it [Heidegger]
     Full Idea: We do not throw a 'signification' over some naked thing which is present-at-hand, we do not stick a value on it; but when something is encountered as such, the thing in question has an involvement which is disclosed in our understanding of the world.
     From: Martin Heidegger (Being and Time [1927], p.190-1), quoted by George Dickie - The Myth of the Aesthetic Attitude 3 'Undoing'
     A reaction: Analytic philosophy and science have tried to dismantle experience, and Heidegger wants to put it back together. I would say there is a big difference between encountering a thing (which is a bit facty), and understanding it (which is more valuey).
23. Ethics / F. Existentialism / 1. Existentialism
Dasein has the potential to be itself, but must be shown this in the midst of ordinariness [Heidegger]
     Full Idea: Because Dasein is lost in the 'they', it must first find itself. It must be 'shown' to itself in its possible authenticity. In terms of its possibility, Dasein is already a potentiality-for-Being-its-self, but it needs to have this potentiality attested.
     From: Martin Heidegger (Being and Time [1927], II.2.54)
     A reaction: I wish there was some criterion for knowing when you are being yourself and when you are not.
23. Ethics / F. Existentialism / 3. Angst
Anxiety reveals the possibility and individuality of Dasein [Heidegger]
     Full Idea: Anxiety discloses Dasein as Being-possible, and indeed as the only kind of thing which it can be of its own accord as something individualised in individualisation.
     From: Martin Heidegger (Being and Time [1927], I.6.40)
     A reaction: Is sounds like insecurity, as a sort of trauma that shocks one into self-realisation. The idea means very little to me personally.
Anxiety about death frees me to live my own life [Heidegger, by Wrathall]
     Full Idea: For Heidegger, as a consequence of my anxiety in the face of death, I am set free to live my life as my own rather than doing things merely because others expect me to do them.
     From: report of Martin Heidegger (Being and Time [1927]) by Mark Wrathall - Heidegger: how to read 7
     A reaction: Contrary to Epicurus, Heidegger thinks anxiety about death is a good thing. The point is, I suppose, that we all die alone, and people who are very socially contrained need to face up to death in order to grasp their autonomy.
Anxiety is the uncanniness felt when constantly fleeing from asserting one's own freedom [Heidegger, by Caputo]
     Full Idea: Anxiety [angst] is the disturbing sense of uncanniness by which Dasein is overtaken (thrownness) when it discovers there is nothing other than its own freedom to sustain its projects (projection), and from which Dasein constantly takes flight (falling).
     From: report of Martin Heidegger (Being and Time [1927]) by John D. Caputo - Heidegger p.227
     A reaction: This seems to be Kierkegaard's idea, unamended. In my experience anxiety only comes when I am forced into making decisions by worldly situations. An 'existential crisis' is a sort of blankness appearing where a future life was supposed to be.
23. Ethics / F. Existentialism / 5. Existence-Essence
Being what it is (essentia) must be conceived in terms of Being (existence) [Heidegger]
     Full Idea: Dasein's Being-what-it-is (essentia) must….be conceived in terms of its Being (existentia).
     From: Martin Heidegger (Being and Time [1927], 67/42), quoted by Richard Polt - Heidegger: an introduction 3.§2
     A reaction: This seems to be the origin of Sartre's famous slogan 'existence before essence'. It seems to be a rebellion against Husserl's quest for essences.
23. Ethics / F. Existentialism / 6. Authentic Self
Heidegger says we must either choose an inauthentic hero, or choose yourself as hero [Heidegger, by Critchley]
     Full Idea: Heidegger says you must choose your hero; either you choose 'das Man', the inauthentic life, or you choose yourself - the point being that you have to choose yourself as your hero in order to be authentic.
     From: report of Martin Heidegger (Being and Time [1927]) by Simon Critchley - Impossible Objects: interviews 5
     A reaction: If Nietzsche's 'Ecce Homo' is the model for choosing yourself as hero, I am not too sure about this idea. Needing a hero seems awfully German and romantic. Ein Heldenleben. Be your own anit-hero (like a standup comedian)?