Combining Philosophers

All the ideas for Anaxarchus, Peter Simons and Bob Hale

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137 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
You cannot understand what exists without understanding possibility and necessity [Hale]
1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
Metaphysics attempts to give an account of everything, in terms of categories and principles [Simons]
1. Philosophy / F. Analytic Philosophy / 1. Nature of Analysis
Analytic philosophers may prefer formal systems because natural language is such mess [Simons]
1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
Questions about objects are questions about certain non-vacuous singular terms [Hale]
2. Reason / D. Definition / 6. Definition by Essence
A canonical defintion specifies the type of thing, and what distinguish this specimen [Hale]
2. Reason / D. Definition / 12. Paraphrase
An expression is a genuine singular term if it resists elimination by paraphrase [Hale]
4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula
The two Barcan principles are easily proved in fairly basic modal logic [Hale]
With a negative free logic, we can dispense with the Barcan formulae [Hale]
4. Formal Logic / G. Formal Mereology / 1. Mereology
Classical mereology doesn't apply well to the objects around us [Simons]
Complement: the rest of the Universe apart from some individual, written x-bar [Simons]
Criticisms of mereology: parts? transitivity? sums? identity? four-dimensional? [Simons]
A 'part' has different meanings for individuals, classes, and masses [Simons]
4. Formal Logic / G. Formal Mereology / 2. Terminology of Mereology
Proper or improper part: x < y, 'x is (a) part of y' [Simons]
Disjoint: two individuals are disjoint iff they do not overlap, written 'x | y' [Simons]
Difference: the difference of individuals is the remainder of an overlap, written 'x - y' [Simons]
Overlap: two parts overlap iff they have a part in common, expressed as 'x o y' [Simons]
Product: the product of two individuals is the sum of all of their overlaps, written 'x · y' [Simons]
Sum: the sum of individuals is what is overlapped if either of them are, written 'x + y' [Simons]
General sum: the sum of objects satisfying some predicate, written σx(Fx) [Simons]
General product: the nucleus of all objects satisfying a predicate, written πx(Fx) [Simons]
Universe: the mereological sum of all objects whatever, written 'U' [Simons]
Atom: an individual with no proper parts, written 'At x' [Simons]
Dissective: stuff is dissective if parts of the stuff are always the stuff [Simons]
4. Formal Logic / G. Formal Mereology / 3. Axioms of Mereology
Two standard formalisations of part-whole theory are the Calculus of Individuals, and Mereology [Simons]
The part-relation is transitive and asymmetric (and thus irreflexive) [Simons]
Each wheel is part of a car, but the four wheels are not a further part [Simons]
Classical mereology doesn't handle temporal or modal notions very well [Simons]
4. Formal Logic / G. Formal Mereology / 4. Groups
A 'group' is a collection with a condition which constitutes their being united [Simons]
The same members may form two groups [Simons]
'The wolves' are the matter of 'the pack'; the latter is a group, with different identity conditions [Simons]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
If second-order variables range over sets, those are just objects; properties and relations aren't sets [Hale]
5. Theory of Logic / C. Ontology of Logic / 4. Logic by Convention
Maybe conventionalism applies to meaning, but not to the truth of propositions expressed [Hale]
5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names
Philosophy is stuck on the Fregean view that an individual is anything with a proper name [Simons]
5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms
We should decide whether singular terms are genuine by their usage [Hale]
Often the same singular term does not ensure reliable inference [Hale]
Plenty of clear examples have singular terms with no ontological commitment [Hale]
If singular terms can't be language-neutral, then we face a relativity about their objects [Hale]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
Some natural languages don't distinguish between singular and plural [Simons]
5. Theory of Logic / H. Proof Systems / 4. Natural Deduction
Unlike axiom proofs, natural deduction proofs needn't focus on logical truths and theorems [Hale]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
The real numbers may be introduced by abstraction as ratios of quantities [Hale, by Hale/Wright]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
Add Hume's principle to logic, to get numbers; arithmetic truths rest on the nature of the numbers [Hale]
7. Existence / B. Change in Existence / 1. Nature of Change
Four-dimensional ontology has no change, since that needs an object, and time to pass [Simons]
There are real relational changes, as well as bogus 'Cambridge changes' [Simons]
7. Existence / B. Change in Existence / 2. Processes
I don't believe in processes [Simons]
Fans of process ontology cheat, since river-stages refer to 'rivers' [Simons]
Slow and continuous events (like balding or tree-growth) are called 'processes', not 'events' [Simons]
Maybe processes behave like stuff-nouns, and events like count-nouns [Simons]
7. Existence / B. Change in Existence / 3. Moments
Moments are things like smiles or skids, which are founded on other things [Simons]
A smiling is an event with causes, but the smile is a continuant without causes [Simons]
A wave is maintained by a process, but it isn't a process [Simons]
Moving disturbances are are moments which continuously change their basis [Simons]
7. Existence / B. Change in Existence / 4. Events / a. Nature of events
I do not think there is a general identity condition for events [Simons]
Einstein's relativity brought events into ontology, as the terms of a simultaneity relationships [Simons]
7. Existence / B. Change in Existence / 4. Events / b. Events as primitive
Relativity has an ontology of things and events, not on space-time diagrams [Simons]
7. Existence / C. Structure of Existence / 4. Ontological Dependence
Independent objects can exist apart, and maybe even entirely alone [Simons]
7. Existence / C. Structure of Existence / 5. Supervenience / a. Nature of supervenience
Interesting supervenience must characterise the base quite differently from what supervenes on it [Hale]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
The abstract/concrete distinction is based on what is perceivable, causal and located [Hale]
Colours and points seem to be both concrete and abstract [Hale]
The abstract/concrete distinction is in the relations in the identity-criteria of object-names [Hale]
Token-letters and token-words are concrete objects, type-letters and type-words abstract [Hale]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / b. Levels of abstraction
There is a hierarchy of abstraction, based on steps taken by equivalence relations [Hale]
7. Existence / C. Structure of Existence / 8. Stuff / a. Pure stuff
Mass terms (unlike plurals) are used with indifference to whether they can exist in units [Simons]
Gold is not its atoms, because the atoms must be all gold, but gold contains neutrons [Simons]
Mass nouns admit 'much' and 'a little', and resist 'many' and 'few'. [Simons]
7. Existence / C. Structure of Existence / 8. Stuff / b. Mixtures
Mixtures disappear if nearly all of the mixture is one ingredient [Simons]
A mixture can have different qualities from its ingredients. [Simons]
7. Existence / D. Theories of Reality / 8. Facts / c. Facts and truths
There is no gap between a fact that p, and it is true that p; so we only have the truth-condtions for p [Hale]
8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes
Internal relations combine some tropes into a nucleus, which bears the non-essential tropes [Simons, by Edwards]
8. Modes of Existence / D. Universals / 1. Universals
If F can't have location, there is no problem of things having F in different locations [Hale]
It is doubtful if one entity, a universal, can be picked out by both predicates and abstract nouns [Hale]
Realists take universals to be the referrents of both adjectives and of nouns [Hale]
8. Modes of Existence / E. Nominalism / 1. Nominalism / c. Nominalism about abstracta
Objections to Frege: abstracta are unknowable, non-independent, unstatable, unindividuated [Hale]
9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta
Shapes and directions are of something, but games and musical compositions are not [Hale]
Many abstract objects, such as chess, seem non-spatial, but are not atemporal [Hale]
If the mental is non-spatial but temporal, then it must be classified as abstract [Hale]
Being abstract is based on a relation between things which are spatially separated [Hale]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
The modern Fregean use of the term 'object' is much broader than the ordinary usage [Hale]
9. Objects / A. Existence of Objects / 2. Abstract Objects / d. Problems with abstracta
We can't believe in a 'whereabouts' because we ask 'what kind of object is it?' [Hale]
9. Objects / A. Existence of Objects / 5. Individuation / a. Individuation
To individuate something we must pick it out, but also know its limits of variation [Simons]
9. Objects / A. Existence of Objects / 5. Individuation / e. Individuation by kind
Sortal nouns for continuants tell you their continuance- and cessation-conditions [Simons]
9. Objects / B. Unity of Objects / 1. Unifying an Object / a. Intrinsic unification
A whole requires some unique relation which binds together all of the parts [Simons]
9. Objects / B. Unity of Objects / 3. Unity Problems / b. Cat and its tail
Tibbles isn't Tib-plus-tail, because Tibbles can survive its loss, but the sum can't [Simons]
Does Tibbles remain the same cat when it loses its tail? [Simons]
9. Objects / B. Unity of Objects / 3. Unity Problems / d. Coincident objects
Without extensional mereology two objects can occupy the same position [Simons]
9. Objects / C. Structure of Objects / 5. Composition of an Object
Composition is asymmetric and transitive [Simons]
If a chair could be made of slightly different material, that could lead to big changes [Hale]
9. Objects / C. Structure of Objects / 6. Constitution of an Object
A hand constitutes a fist (when clenched), but a fist is not composed of an augmented hand [Simons]
9. Objects / C. Structure of Objects / 8. Parts of Objects / a. Parts of objects
We say 'b is part of a', 'b is a part of a', 'b are a part of a', or 'b are parts of a'. [Simons]
9. Objects / C. Structure of Objects / 8. Parts of Objects / b. Sums of parts
Classical mereology says there are 'sums', for whose existence there is no other evidence [Simons]
'Mereological extensionality' says objects with the same parts are identical [Simons]
If there are c atoms, this gives 2^c - 1 individuals, so there can't be just 2 or 12 individuals [Simons]
Sums are more plausible for pluralities and masses than they are for individuals [Simons]
Sums of things in different categories are found within philosophy. [Simons]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
The wholeness of a melody seems conventional, but of an explosion it seems natural [Simons]
9. Objects / D. Essence of Objects / 5. Essence as Kind
Objects have their essential properties because of the kind of objects they are [Simons]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / b. Essence not necessities
We must distinguish the de dicto 'must' of propositions from the de re 'must' of essence [Simons]
9. Objects / D. Essence of Objects / 11. Essence of Artefacts
Original parts are the best candidates for being essential to artefacts [Simons]
9. Objects / D. Essence of Objects / 12. Essential Parts
An essential part of an essential part is an essential part of the whole [Simons]
9. Objects / E. Objects over Time / 4. Four-Dimensionalism
Four dimensional-objects are stranger than most people think [Simons]
9. Objects / E. Objects over Time / 7. Intermittent Objects
Intermittent objects would be respectable if they occurred in nature, as well as in artefacts [Simons]
Objects like chess games, with gaps in them, are thereby less unified [Simons]
9. Objects / E. Objects over Time / 9. Ship of Theseus
An entrepreneur and a museum curator would each be happy with their ship at the end [Simons]
The 'best candidate' theories mistakenly assume there is one answer to 'Which is the real ship?' [Simons]
9. Objects / E. Objects over Time / 12. Origin as Essential
The zygote is an essential initial part, for a sexually reproduced organism [Simons]
9. Objects / F. Identity among Objects / 1. Concept of Identity
The relations featured in criteria of identity are always equivalence relations [Hale]
9. Objects / F. Identity among Objects / 3. Relative Identity
We sometimes apply identity without having a real criterion [Hale]
10. Modality / A. Necessity / 2. Nature of Necessity
Absolute necessity might be achievable either logically or metaphysically [Hale]
10. Modality / A. Necessity / 3. Types of Necessity
Absolute necessities are necessarily necessary [Hale]
Maybe not-p is logically possible, but p is metaphysically necessary, so the latter is not absolute [Hale]
A strong necessity entails a weaker one, but not conversely; possibilities go the other way [Hale]
'Relative' necessity is just a logical consequence of some statements ('strong' if they are all true) [Hale]
'Absolute necessity' is when there is no restriction on the things which necessitate p [Hale]
Logical and metaphysical necessities differ in their vocabulary, and their underlying entities [Hale]
10. Modality / A. Necessity / 5. Metaphysical Necessity
Metaphysical necessity says there is no possibility of falsehood [Hale]
10. Modality / A. Necessity / 6. Logical Necessity
'Broadly' logical necessities are derived (in a structure) entirely from the concepts [Hale]
Logical necessities are true in virtue of the nature of all logical concepts [Hale]
Logical necessity is something which is true, no matter what else is the case [Hale]
Maybe each type of logic has its own necessity, gradually becoming broader [Hale]
10. Modality / C. Sources of Modality / 1. Sources of Necessity
Explanation of necessity must rest on something necessary or something contingent [Hale]
Why is this necessary, and what is necessity in general; why is this necessary truth true, and why necessary? [Hale]
The explanation of a necessity can be by a truth (which may only happen to be a necessary truth) [Hale]
It seems that we cannot show that modal facts depend on non-modal facts [Hale]
10. Modality / C. Sources of Modality / 3. Necessity by Convention
If necessity rests on linguistic conventions, those are contingent, so there is no necessity [Hale]
10. Modality / C. Sources of Modality / 4. Necessity from Concepts
Conceptual necessities are made true by all concepts [Hale]
Concept-identities explain how we know necessities, not why they are necessary [Hale]
10. Modality / C. Sources of Modality / 6. Necessity from Essence
The big challenge for essentialist views of modality is things having necessary existence [Hale]
Essentialism doesn't explain necessity reductively; it explains all necessities in terms of a few basic natures [Hale]
If necessity derives from essences, how do we explain the necessary existence of essences? [Hale]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
What are these worlds, that being true in all of them makes something necessary? [Hale]
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
Possible worlds make every proposition true or false, which endorses classical logic [Hale]
10. Modality / E. Possible worlds / 3. Transworld Objects / a. Transworld identity
The limits of change for an individual depend on the kind of individual [Simons]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
Anaxarchus said that he was not even sure that he knew nothing [Anaxarchus, by Diog. Laertius]
18. Thought / C. Content / 6. Broad Content
The molecules may explain the water, but they are not what 'water' means [Hale]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
Any equivalence relation among similar things allows the creation of an abstractum [Simons]
Abstraction is usually seen as producing universals and numbers, but it can do more [Simons]
20. Action / A. Definition of Action / 2. Duration of an Action
With activities if you are doing it you've done it, with performances you must finish to have done it [Simons]
21. Aesthetics / B. Nature of Art / 8. The Arts / a. Music
One false note doesn't make it a performance of a different work [Simons]