86 ideas
| 15801 | Many philosophers aim to understand metaphysics by studying ourselves [Chisholm] |
| Full Idea: Leibniz, Reid, Brentano and others have held that, by considering certain obvious facts about ourselves, we can arrive at an understanding of the general principles of metaphysics. The present book is intended to confirm that view. | |
| From: Roderick Chisholm (Person and Object [1976], Intro 1) | |
| A reaction: I sympathise, but don't really agree. I see metaphysics as a process of filtering ourselves out of the picture, leaving an account of how things actually are. |
| 15802 | I use variables to show that each item remains the same entity throughout [Chisholm] |
| Full Idea: My use of variables is not merely pedantic; it indicates that the various items on our list pertain to one and the same entity throughout. | |
| From: Roderick Chisholm (Person and Object [1976], Intro 2) | |
| A reaction: I am one of those poor souls who finds modern analytic philosophy challenging simply because I think in terms of old fashioned words, instead of thinking like mathematicians and logicians. This is a nice defence of their approach. |
| 17892 | For clear questions posed by reason, reason can also find clear answers [Gödel] |
| Full Idea: I uphold the belief that for clear questions posed by reason, reason can also find clear answers. | |
| From: Kurt Gödel (works [1930]), quoted by Peter Koellner - On the Question of Absolute Undecidability 1.5 | |
| A reaction: [written in 1961] This contradicts the implication normally taken from his much earlier Incompleteness Theorems. |
| 10041 | Impredicative Definitions refer to the totality to which the object itself belongs [Gödel] |
| Full Idea: Impredicative Definitions are definitions of an object by reference to the totality to which the object itself (and perhaps also things definable only in terms of that object) belong. | |
| From: Kurt Gödel (Russell's Mathematical Logic [1944], n 13) |
| 21752 | Prior to Gödel we thought truth in mathematics consisted in provability [Gödel, by Quine] |
| Full Idea: Gödel's proof wrought an abrupt turn in the philosophy of mathematics. We had supposed that truth, in mathematics, consisted in provability. | |
| From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by Willard Quine - Forward to Gödel's Unpublished | |
| A reaction: This explains the crisis in the early 1930s, which Tarski's theory appeared to solve. |
| 17751 | Gödel proved the completeness of first order predicate logic in 1930 [Gödel, by Walicki] |
| Full Idea: Gödel proved the completeness of first order predicate logic in his doctoral dissertation of 1930. | |
| From: report of Kurt Gödel (Completeness of Axioms of Logic [1930]) by Michal Walicki - Introduction to Mathematical Logic History E.2.2 |
| 8679 | We perceive the objects of set theory, just as we perceive with our senses [Gödel] |
| Full Idea: We have something like perception of the objects of set theory, shown by the axioms forcing themselves on us as being true. I don't see why we should have less confidence in this kind of perception (i.e. mathematical intuition) than in sense perception. | |
| From: Kurt Gödel (What is Cantor's Continuum Problem? [1964], p.483), quoted by Michčle Friend - Introducing the Philosophy of Mathematics 2.4 | |
| A reaction: A famous strong expression of realism about the existence of sets. It is remarkable how the ingredients of mathematics spread themselves before the mind like a landscape, inviting journeys - but I think that just shows how minds cope with abstractions. |
| 17835 | Gödel show that the incompleteness of set theory was a necessity [Gödel, by Hallett,M] |
| Full Idea: Gödel's incompleteness results of 1931 show that all axiom systems precise enough to satisfy Hilbert's conception are necessarily incomplete. | |
| From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by Michael Hallett - Introduction to Zermelo's 1930 paper p.1215 | |
| A reaction: [Hallett italicises 'necessarily'] Hilbert axioms have to be recursive - that is, everything in the system must track back to them. |
| 9942 | Gödel proved the classical relative consistency of the axiom V = L [Gödel, by Putnam] |
| Full Idea: Gödel proved the classical relative consistency of the axiom V = L (which implies the axiom of choice and the generalized continuum hypothesis). This established the full independence of the continuum hypothesis from the other axioms. | |
| From: report of Kurt Gödel (What is Cantor's Continuum Problem? [1964]) by Hilary Putnam - Mathematics without Foundations | |
| A reaction: Gödel initially wanted to make V = L an axiom, but the changed his mind. Maddy has lots to say on the subject. |
| 21716 | In simple type theory the axiom of Separation is better than Reducibility [Gödel, by Linsky,B] |
| Full Idea: In the superior realist and simple theory of types, the place of the axiom of reducibility is not taken by the axiom of classes, Zermelo's Aussonderungsaxiom. | |
| From: report of Kurt Gödel (Russell's Mathematical Logic [1944], p.140-1) by Bernard Linsky - Russell's Metaphysical Logic 6.1 n3 | |
| A reaction: This is Zermelo's Axiom of Separation, but that too is not an axiom of standard ZFC. |
| 9188 | Gödel proved that first-order logic is complete, and second-order logic incomplete [Gödel, by Dummett] |
| Full Idea: Gödel proved the completeness of standard formalizations of first-order logic, including Frege's original one. However, an implication of his famous theorem on the incompleteness of arithmetic is that second-order logic is incomplete. | |
| From: report of Kurt Gödel (works [1930]) by Michael Dummett - The Philosophy of Mathematics 3.1 | |
| A reaction: This must mean that it is impossible to characterise arithmetic fully in terms of first-order logic. In which case we can only characterize the features of abstract reality in general if we employ an incomplete system. We're doomed. |
| 10035 | Mathematical Logic is a non-numerical branch of mathematics, and the supreme science [Gödel] |
| Full Idea: 'Mathematical Logic' is a precise and complete formulation of formal logic, and is both a section of mathematics covering classes, relations, symbols etc, and also a science prior to all others, with ideas and principles underlying all sciences. | |
| From: Kurt Gödel (Russell's Mathematical Logic [1944], p.447) | |
| A reaction: He cites Leibniz as the ancestor. In this database it is referred to as 'theory of logic', as 'mathematical' seems to be simply misleading. The principles of the subject are standardly applied to mathematical themes. |
| 10042 | Reference to a totality need not refer to a conjunction of all its elements [Gödel] |
| Full Idea: One may, on good grounds, deny that reference to a totality necessarily implies reference to all single elements of it or, in other words, that 'all' means the same as an infinite logical conjunction. | |
| From: Kurt Gödel (Russell's Mathematical Logic [1944], p.455) |
| 10620 | Originally truth was viewed with total suspicion, and only demonstrability was accepted [Gödel] |
| Full Idea: At that time (c.1930) a concept of objective mathematical truth as opposed to demonstrability was viewed with greatest suspicion and widely rejected as meaningless. | |
| From: Kurt Gödel (works [1930]), quoted by Peter Smith - Intro to Gödel's Theorems 28.2 | |
| A reaction: [quoted from a letter] This is the time of Ramsey's redundancy account, and before Tarski's famous paper of 1933. It is also the high point of Formalism, associated with Hilbert. |
| 17886 | The limitations of axiomatisation were revealed by the incompleteness theorems [Gödel, by Koellner] |
| Full Idea: The inherent limitations of the axiomatic method were first brought to light by the incompleteness theorems. | |
| From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by Peter Koellner - On the Question of Absolute Undecidability 1.1 |
| 10071 | Second Incompleteness: nice theories can't prove their own consistency [Gödel, by Smith,P] |
| Full Idea: Second Incompleteness Theorem: roughly, nice theories that include enough basic arithmetic can't prove their own consistency. | |
| From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by Peter Smith - Intro to Gödel's Theorems 1.5 | |
| A reaction: On the face of it, this sounds less surprising than the First Theorem. Philosophers have often noticed that it seems unlikely that you could use reason to prove reason, as when Descartes just relies on 'clear and distinct ideas'. |
| 19123 | If soundness can't be proved internally, 'reflection principles' can be added to assert soundness [Gödel, by Halbach/Leigh] |
| Full Idea: Gödel showed PA cannot be proved consistent from with PA. But 'reflection principles' can be added, which are axioms partially expressing the soundness of PA, by asserting what is provable. A Global Reflection Principle asserts full soundness. | |
| From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by Halbach,V/Leigh,G.E. - Axiomatic Theories of Truth (2013 ver) 1.2 | |
| A reaction: The authors point out that this needs a truth predicate within the language, so disquotational truth won't do, and there is a motivation for an axiomatic theory of truth. |
| 17883 | Gödel's Theorems did not refute the claim that all good mathematical questions have answers [Gödel, by Koellner] |
| Full Idea: Gödel was quick to point out that his original incompleteness theorems did not produce instances of absolute undecidability and hence did not undermine Hilbert's conviction that for every precise mathematical question there is a discoverable answer. | |
| From: report of Kurt Gödel (works [1930]) by Peter Koellner - On the Question of Absolute Undecidability Intro | |
| A reaction: The normal simplistic view among philosophes is that Gödel did indeed decisively refute the optimistic claims of Hilbert. Roughly, whether Hilbert is right depends on which axioms of set theory you adopt. |
| 10621 | Gödel's First Theorem sabotages logicism, and the Second sabotages Hilbert's Programme [Smith,P on Gödel] |
| Full Idea: Where Gödel's First Theorem sabotages logicist ambitions, the Second Theorem sabotages Hilbert's Programme. | |
| From: comment on Kurt Gödel (On Formally Undecidable Propositions [1931]) by Peter Smith - Intro to Gödel's Theorems 36 | |
| A reaction: Neo-logicism (Crispin Wright etc.) has a strategy for evading the First Theorem. |
| 17888 | The undecidable sentence can be decided at a 'higher' level in the system [Gödel] |
| Full Idea: My undecidable arithmetical sentence ...is not at all absolutely undecidable; rather, one can always pass to 'higher' systems in which the sentence in question is decidable. | |
| From: Kurt Gödel (On Formally Undecidable Propositions [1931]), quoted by Peter Koellner - On the Question of Absolute Undecidability 1.1 | |
| A reaction: [a 1931 MS] He says the reals are 'higher' than the naturals, and the axioms of set theory are higher still. The addition of a truth predicate is part of what makes the sentence become decidable. |
| 10038 | A logical system needs a syntactical survey of all possible expressions [Gödel] |
| Full Idea: In order to be sure that new expression can be translated into expressions not containing them, it is necessary to have a survey of all possible expressions, and this can be furnished only by syntactical considerations. | |
| From: Kurt Gödel (Russell's Mathematical Logic [1944], p.448) | |
| A reaction: [compressed] |
| 18062 | Set-theory paradoxes are no worse than sense deception in physics [Gödel] |
| Full Idea: The set-theoretical paradoxes are hardly any more troublesome for mathematics than deceptions of the senses are for physics. | |
| From: Kurt Gödel (What is Cantor's Continuum Problem? [1964], p.271), quoted by Philip Kitcher - The Nature of Mathematical Knowledge 03.4 |
| 10132 | There can be no single consistent theory from which all mathematical truths can be derived [Gödel, by George/Velleman] |
| Full Idea: Gödel's far-reaching work on the nature of logic and formal systems reveals that there can be no single consistent theory from which all mathematical truths can be derived. | |
| From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by A.George / D.J.Velleman - Philosophies of Mathematics Ch.8 |
| 10046 | The generalized Continuum Hypothesis asserts a discontinuity in cardinal numbers [Gödel] |
| Full Idea: The generalized Continuum Hypothesis says that there exists no cardinal number between the power of any arbitrary set and the power of the set of its subsets. | |
| From: Kurt Gödel (Russell's Mathematical Logic [1944], p.464) |
| 10868 | The Continuum Hypothesis is not inconsistent with the axioms of set theory [Gödel, by Clegg] |
| Full Idea: Gödel proved that the Continuum Hypothesis was not inconsistent with the axioms of set theory. | |
| From: report of Kurt Gödel (What is Cantor's Continuum Problem? [1964]) by Brian Clegg - Infinity: Quest to Think the Unthinkable Ch.15 |
| 13517 | If set theory is consistent, we cannot refute or prove the Continuum Hypothesis [Gödel, by Hart,WD] |
| Full Idea: Gödel proved that (if set theory is consistent) we cannot refute the continuum hypothesis, and Cohen proved that (if set theory is consistent) we cannot prove it either. | |
| From: report of Kurt Gödel (What is Cantor's Continuum Problem? [1964]) by William D. Hart - The Evolution of Logic 10 |
| 17885 | Gödel eventually hoped for a generalised completeness theorem leaving nothing undecidable [Gödel, by Koellner] |
| Full Idea: Eventually Gödel ...expressed the hope that there might be a generalised completeness theorem according to which there are no absolutely undecidable sentences. | |
| From: report of Kurt Gödel (works [1930]) by Peter Koellner - On the Question of Absolute Undecidability Intro | |
| A reaction: This comes as a bit of a shock to those who associate him with the inherent undecidability of reality. |
| 10614 | The real reason for Incompleteness in arithmetic is inability to define truth in a language [Gödel] |
| Full Idea: The concept of truth of sentences in a language cannot be defined in the language. This is the true reason for the existence of undecidable propositions in the formal systems containing arithmetic. | |
| From: Kurt Gödel (works [1930]), quoted by Peter Smith - Intro to Gödel's Theorems 21.6 | |
| A reaction: [from a letter by Gödel] So they key to Incompleteness is Tarski's observations about truth. Highly significant, as I take it. |
| 3198 | Gödel showed that arithmetic is either incomplete or inconsistent [Gödel, by Rey] |
| Full Idea: Gödel's theorem states that either arithmetic is incomplete, or it is inconsistent. | |
| From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by Georges Rey - Contemporary Philosophy of Mind 8.7 |
| 10072 | First Incompleteness: arithmetic must always be incomplete [Gödel, by Smith,P] |
| Full Idea: First Incompleteness Theorem: any properly axiomatised and consistent theory of basic arithmetic must remain incomplete, whatever our efforts to complete it by throwing further axioms into the mix. | |
| From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by Peter Smith - Intro to Gödel's Theorems 1.2 | |
| A reaction: This is because it is always possible to formulate a well-formed sentence which is not provable within the theory. |
| 9590 | Arithmetical truth cannot be fully and formally derived from axioms and inference rules [Gödel, by Nagel/Newman] |
| Full Idea: The vast continent of arithmetical truth cannot be brought into systematic order by laying down a fixed set of axioms and rules of inference from which every true mathematical statement can be formally derived. For some this was a shocking revelation. | |
| From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by E Nagel / JR Newman - Gödel's Proof VII.C | |
| A reaction: Good news for philosophy, I'd say. The truth cannot be worked out by mechanical procedures, so it needs the subtle and intuitive intelligence of your proper philosopher (Parmenides is the role model) to actually understand reality. |
| 11069 | Gödel's Second says that semantic consequence outruns provability [Gödel, by Hanna] |
| Full Idea: Gödel's Second Incompleteness Theorem says that true unprovable sentences are clearly semantic consequences of the axioms in the sense that they are necessarily true if the axioms are true. So semantic consequence outruns provability. | |
| From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by Robert Hanna - Rationality and Logic 5.3 |
| 10118 | First Incompleteness: a decent consistent system is syntactically incomplete [Gödel, by George/Velleman] |
| Full Idea: First Incompleteness Theorem: If S is a sufficiently powerful formal system, then if S is consistent then S is syntactically incomplete. | |
| From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by A.George / D.J.Velleman - Philosophies of Mathematics Ch.6 | |
| A reaction: Gödel found a single sentence, effectively saying 'I am unprovable in S', which is neither provable nor refutable in S. |
| 10122 | Second Incompleteness: a decent consistent system can't prove its own consistency [Gödel, by George/Velleman] |
| Full Idea: Second Incompleteness Theorem: If S is a sufficiently powerful formal system, then if S is consistent then S cannot prove its own consistency | |
| From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by A.George / D.J.Velleman - Philosophies of Mathematics Ch.6 | |
| A reaction: This seems much less surprising than the First Theorem (though it derives from it). It was always kind of obvious that you couldn't use reason to prove that reason works (see, for example, the Cartesian Circle). |
| 10611 | There is a sentence which a theory can show is true iff it is unprovable [Gödel, by Smith,P] |
| Full Idea: The original Gödel construction gives us a sentence that a theory shows is true if and only if it satisfies the condition of being unprovable-in-that-theory. | |
| From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by Peter Smith - Intro to Gödel's Theorems 20.5 |
| 10867 | 'This system can't prove this statement' makes it unprovable either way [Gödel, by Clegg] |
| Full Idea: An approximation of Gödel's Theorem imagines a statement 'This system of mathematics can't prove this statement true'. If the system proves the statement, then it can't prove it. If the statement can't prove the statement, clearly it still can't prove it. | |
| From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by Brian Clegg - Infinity: Quest to Think the Unthinkable Ch.15 | |
| A reaction: Gödel's contribution to this simple idea seems to be a demonstration that formal arithmetic is capable of expressing such a statement. |
| 10039 | Some arithmetical problems require assumptions which transcend arithmetic [Gödel] |
| Full Idea: It has turned out that the solution of certain arithmetical problems requires the use of assumptions essentially transcending arithmetic. | |
| From: Kurt Gödel (Russell's Mathematical Logic [1944], p.449) | |
| A reaction: A nice statement of the famous result, from the great man himself, in the plainest possible English. |
| 10043 | Mathematical objects are as essential as physical objects are for perception [Gödel] |
| Full Idea: Classes and concepts may be conceived of as real objects, ..and are as necessary to obtain a satisfactory system of mathematics as physical bodies are necessary for a satisfactory theory of our sense perceptions, with neither case being about 'data'. | |
| From: Kurt Gödel (Russell's Mathematical Logic [1944], p.456) | |
| A reaction: Note that while he thinks real objects are essential for mathematics, be may not be claiming the same thing for our knowledge of logic. If logic contains no objects, then how could mathematics be reduced to it, as in logicism? |
| 10271 | Basic mathematics is related to abstract elements of our empirical ideas [Gödel] |
| Full Idea: Evidently the 'given' underlying mathematics is closely related to the abstract elements contained in our empirical ideas. | |
| From: Kurt Gödel (What is Cantor's Continuum Problem? [1964], Suppl) | |
| A reaction: Yes! The great modern mathematical platonist says something with which I can agree. He goes on to hint at a platonic view of the structure of the empirical world, but we'll let that pass. |
| 10045 | Impredicative definitions are admitted into ordinary mathematics [Gödel] |
| Full Idea: Impredicative definitions are admitted into ordinary mathematics. | |
| From: Kurt Gödel (Russell's Mathematical Logic [1944], p.464) | |
| A reaction: The issue is at what point in building an account of the foundations of mathematics (if there be such, see Putnam) these impure definitions should be ruled out. |
| 8747 | Realists are happy with impredicative definitions, which describe entities in terms of other existing entities [Gödel, by Shapiro] |
| Full Idea: Gödel defended impredicative definitions on grounds of ontological realism. From that perspective, an impredicative definition is a description of an existing entity with reference to other existing entities. | |
| From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by Stewart Shapiro - Thinking About Mathematics 5.3 | |
| A reaction: This is why constructivists must be absolutely precise about definition, where realists only have to do their best. Compare building a car with painting a landscape. |
| 15832 | Events are states of affairs that occur at certain places and times [Chisholm] |
| Full Idea: We will restrict events to those states of affairs which occur at certain places and times. | |
| From: Roderick Chisholm (Person and Object [1976], 4.6) | |
| A reaction: If I say 'the bomb may explode sometime', that doesn't seem to refer to an event. Philosophers like Chisholm bowl along, defining left, right and centre, and never seem to step back from their system and ask obvious critical questions. |
| 15829 | The mark of a state of affairs is that it is capable of being accepted [Chisholm] |
| Full Idea: We will say that the mark of a state of affairs is the fact that it is capable of being accepted. | |
| From: Roderick Chisholm (Person and Object [1976], 4.2) | |
| A reaction: I find this a quite bewildering proposal. It means that it is impossible for there to be a state of affairs which is beyond human conception, but why commit to that? |
| 15809 | A state of affairs pertains to a thing if it implies that it has some property [Chisholm] |
| Full Idea: A state of affairs pertains to a thing if it implies the thing to have a certain property. | |
| From: Roderick Chisholm (Person and Object [1976], 1.4) | |
| A reaction: For this to work, we must include extrinsic and relational properties, and properties which are derived from mere predication. I think this is bad metaphysics, and leads to endless confusions. |
| 15828 | I propose that events and propositions are two types of states of affairs [Chisholm] |
| Full Idea: I will propose that events are said to constitute one type of states of affairs, and propositions another | |
| From: Roderick Chisholm (Person and Object [1976], 4.1) | |
| A reaction: I would much prefer to distinguish between the static and the dynamic, so we have a static or timeless state of affairs, and a dynamic event or process. Propositions I take to be neither. He really means 'facts', which subsume the whole lot. |
| 13120 | Chisholm divides things into contingent and necessary, and then individuals, states and non-states [Chisholm, by Westerhoff] |
| Full Idea: Chisholm's Ontological Categories: ENTIA - {Contingent - [Individual - (Boundaries)(Substances)] [States - (Events)]} {Necessary - [States] [Non-States - (Attributes)(Substance)]} | |
| From: report of Roderick Chisholm (A Realistic Theory of Categories [1996], p.3) by Jan Westerhoff - Ontological Categories §01 | |
| A reaction: [I am attempting a textual representation of a tree diagram! The bracket-styles indicate the levels.] |
| 15827 | Some properties, such as 'being a widow', can be seen as 'rooted outside the time they are had' [Chisholm] |
| Full Idea: Some properties may be said to be 'rooted outside the times at which they are had'. Examples are the property of being a widow and the property of being a future President. | |
| From: Roderick Chisholm (Person and Object [1976], 3.4) | |
| A reaction: This is the sort of mess you when you treat the category in which an object belongs as if it was one of its properties. We categorise because of properties. |
| 15830 | Some properties can never be had, like being a round square [Chisholm] |
| Full Idea: There are properties which nothing can possibly have; an example is the property of being both round and square. | |
| From: Roderick Chisholm (Person and Object [1976], 4.2) | |
| A reaction: This is a rather bizarre Meinongian claim. For a start it sounds like two properties not one. Is there a property of being both 'over here' and 'over there'? We might say the round-square property must exist, for God to fail to implement it (?) |
| 15804 | If some dogs are brown, that entails the properties of 'being brown' and 'being canine' [Chisholm] |
| Full Idea: The state of affairs which is some dogs being brown may be said to entail (make it necessarily so) the property of 'being brown', as well as the properties of 'being canine' and 'being both brown and canine'. | |
| From: Roderick Chisholm (Person and Object [1976], 1.4) | |
| A reaction: And the property of 'being such that it is both brown and canine and brown or canine'. Etc. This is dangerous nonsense. Making all truths entail the existence of some property means we can no longer get to grips with real properties. |
| 15810 | Maybe we can only individuate things by relating them to ourselves [Chisholm] |
| Full Idea: It may well be that the only way we have, ultimately, of individuating anything is to relate it uniquely to ourselves. | |
| From: Roderick Chisholm (Person and Object [1976], 1.5) | |
| A reaction: I'm guessing that Chisholm is thinking of 'ourselves' as meaning just himself, but I'm thinking this is plausible if he means the human community. I doubt whether there is much a philosopher can say on individuation that is revealing or precise. |
| 15805 | Being the tallest man is an 'individual concept', but not a haecceity [Chisholm] |
| Full Idea: Being the tallest man and being President of the United States are 'individual concepts', but not haecceities. | |
| From: Roderick Chisholm (Person and Object [1976], 1.4) | |
| A reaction: Chisholm introduces this term, to help him explain his haecceity more clearly. (His proposal on that adds a lot of fog to this area of metaphysics). |
| 15807 | A haecceity is a property had necessarily, and strictly confined to one entity [Chisholm] |
| Full Idea: An individual essence or haecceity is a narrower type of individual concept. This is a property which is had necessarily, and which it is impossible for any other thing to have. | |
| From: Roderick Chisholm (Person and Object [1976], 1.4) | |
| A reaction: [Apologies to Chisholm for leaving out the variables from his definition of haecceity. See Idea 15802] See also Idea 15805. The tallest man is unique, but someone else could become the tallest man. No one else could acquire 'being Socrates'. |
| 15814 | A peach is sweet and fuzzy, but it doesn't 'have' those qualities [Chisholm] |
| Full Idea: Our idea of a peach is not an idea of something that 'has' those particular qualities, but the concrete thing that 'is' sweet and round and fuzzy. | |
| From: Roderick Chisholm (Person and Object [1976], 1.6) | |
| A reaction: This is the beginnings of his 'adverbial' account of properties, with which you have to sympathise. It tries to eliminate the possibility of some propertyless thing, to which properties can then be added, like sprinkling sugar on it. |
| 12852 | If x is ever part of y, then y is necessarily such that x is part of y at any time that y exists [Chisholm, by Simons] |
| Full Idea: Chisholm has an axiom: if x is a proper part of y, then necessarily if y exists then x is part of it. If x is ever part of y, they y is necessarily such that x is part of y at any time that y exists. | |
| From: report of Roderick Chisholm (Person and Object [1976], p.149) by Peter Simons - Parts 5.3 | |
| A reaction: This is Chisholm's notorious mereological essentialism, that all parts are necessary, and change of part means change of thing. However, it looks to me more like a proposal about what properties are necessary, not what are essential. |
| 15808 | A traditional individual essence includes all of a thing's necessary characteristics [Chisholm] |
| Full Idea: According to the traditional account of individual essence, each thing has only one individual essence and it includes all the characteristics that the thing has necessarily. | |
| From: Roderick Chisholm (Person and Object [1976], 1.4) | |
| A reaction: Chisholm is steeped in medieval theology, but I don't think this is quite what Aristotle meant. Everyone nowadays has to exclude the 'trivial' necessary properties, for a start. But why? I'm contemplating things which survive the loss of their essence. |
| 11966 | If there are essential properties, how do you find out what they are? [Chisholm] |
| Full Idea: It seems to me that if Adam does have essential properties, there is no procedure at all for finding out what they are. | |
| From: Roderick Chisholm (Identity through Possible Worlds [1967], p.85) | |
| A reaction: My tentative suggestion is that the essential properties are those which explain the nature, power, function and role of Adam in the 'actual' world. Whatever possibilities he acquires, he had better retain the capacity to be the First Man. |
| 12851 | Intermittence is seen in a toy fort, which is dismantled then rebuilt with the same bricks [Chisholm, by Simons] |
| Full Idea: Chisholm poses the problem of intermittence with the case of a toy fort which is built from toy bricks, taken apart, and then reassembled with the same bricks in the same position. | |
| From: report of Roderick Chisholm (Person and Object [1976], p.90) by Peter Simons - Parts 5.3 | |
| A reaction: You could strengthen the case, or the problem, by using those very bricks to build a ship during the interval. Or building a fort with a different design. Most people would be happy to say that same object (token) has been rebuilt. |
| 15806 | The property of being identical with me is an individual concept [Chisholm] |
| Full Idea: I wish to urge that the property of being identical with me is an individual concept. | |
| From: Roderick Chisholm (Person and Object [1976], 1.4) | |
| A reaction: I can just about live with the claim (for formal purposes) that I am identical with myself, but I strongly resist my then having a 'property' consisting of 'being identical with myself' (or 'not being identical with somone else' etc.). |
| 15826 | There is 'loose' identity between things if their properties, or truths about them, might differ [Chisholm] |
| Full Idea: I suggest that there is a 'loose' sense of identity that is consistent with saying 'A has a property that B does not have', or 'some things are true of A but not of B'. | |
| From: Roderick Chisholm (Person and Object [1976], 3.2) | |
| A reaction: He is trying to explicate Bishop Butler's famous distinction between 'strict and philosophical' and 'loose and popular' senses. We might want to claim that the genuine identity relation is the 'loose' one (pace the logicians and mathematicians). |
| 11965 | Could possible Adam gradually transform into Noah, and vice versa? [Chisholm] |
| Full Idea: If Adam lived for 931 years in a possible world, instead of his actual 930 years, ..then Adam and Noah could gradually exchange their ages and other properties...and we could trace Adam in a world back to the actual Noah, and vice versa. | |
| From: Roderick Chisholm (Identity through Possible Worlds [1967], p.81-2) | |
| A reaction: [very compressed] Chisholm was one of the first to raise this problem for possible worlds, though it had been Quine's objection to modal logic all along. Only Adam having essential properties seems to stop this slippery slope, says Chisholm. |
| 19569 | We have a basic epistemic duty to believe truth and avoid error [Chisholm, by Kvanvig] |
| Full Idea: Chisholm says our fundamental epistemic duties arise from the fundamental duty to (do one's best to) believe the truth and avoid error. | |
| From: report of Roderick Chisholm (Theory of Knowledge (2nd ed 1977) [1966]) by Jonathan Kvanvig - Truth is not the Primary Epistemic Goal 'Epistemic' | |
| A reaction: Since it strikes me as impossible to perceive something as being true, and yet still not believe it (except in moments of shock), I don't see why we need to introduce dubious claims about 'duty' here. Stupidity isn't a failure of duty. |
| 15819 | Do sense-data have structure, location, weight, and constituting matter? [Chisholm] |
| Full Idea: Does a red sense-datum or appearance have a back side as well as a front? Where is it located? Does it have any weight? What is it made of? | |
| From: Roderick Chisholm (Person and Object [1976], 1.8) | |
| A reaction: A reductive physicalist like myself is not so troubled by questions like this, which smack of Descartes's non-spatial argument for dualism. |
| 15816 | 'I feel depressed' is more like 'he runs slowly' than like 'he has a red book' [Chisholm] |
| Full Idea: The sentences 'I feel depressed' and 'I feel exuberant' are related in the way in which 'He runs slowly' and 'He runs swiftly' are related, and not in the way in which 'He has a red book' and 'He has a brown book' are related. | |
| From: Roderick Chisholm (Person and Object [1976], 1.8) | |
| A reaction: Ducasse 1942 and Chisholm 1957 seem to be the sources of the adverbial theory. I gather Chisholm gave it up late in his career. The adverbial theory seems sort of right, but it doesn't illuminate what is happening. |
| 15817 | If we can say a man senses 'redly', why not also 'rectangularly'? [Chisholm] |
| Full Idea: If we say a man 'senses redly', may we also say that he 'senses rhomboidally' or 'senses rectangularly'? There is no reason why not. | |
| From: Roderick Chisholm (Person and Object [1976], 1.8) | |
| A reaction: This is Chisholm replying to one of the best known objections to the adverbial theory. Can we sense 'wobblyrhomboidallywithpinkdots-ly'? Can we perceive 'landscapely'? The problem is bigger than he thinks. |
| 15818 | So called 'sense-data' are best seen as 'modifications' of the person experiencing them [Chisholm] |
| Full Idea: We may summarise my way of looking at appearing by saying that so-called appearances or sense-data are 'affections' or 'modifications' of the person who is said to experience them. | |
| From: Roderick Chisholm (Person and Object [1976], 1.8) | |
| A reaction: Hm. That seems to transfer the ontological problem of the redness of the tomato from the tomato to the perceiver, but leave the basic difficulty untouched. I think we need to pull apart the intrinsic and subjective ingredients here. |
| 8790 | The 'doctrine of the given' is correct; some beliefs or statements are self-justifying [Chisholm] |
| Full Idea: In my opinion, the 'doctrine of the given' is correct in saying that there are some beliefs or statements which are 'self-justifying' and that among such beliefs are statements some of which concern appearances or 'ways of being appeared to'. | |
| From: Roderick Chisholm (The Myth of the Given [1964], §12) | |
| A reaction: To boldly assert that they are 'self-justifying' invites a landslide of criticisms, pointing at a regress. It might be better to say they are self-evident, or intuitively known, or primitive, or true by the natural light of reason. |
| 15831 | Explanations have states of affairs as their objects [Chisholm] |
| Full Idea: I suggest that states of affairs constitute the objects of the theory of explanation. | |
| From: Roderick Chisholm (Person and Object [1976], 4.4) | |
| A reaction: It is good to ask what the constituents of a theory of explanation might be. He has an all-embracing notion of state of affairs, whereas I would say that events and processes are separate. See Idea 15828. |
| 15811 | I am picked out uniquely by my individual essence, which is 'being identical with myself' [Chisholm] |
| Full Idea: What picks me out uniquely, without relating me to some other being? It can only be the property of 'being me' or 'being identical with myself', which can only be an individual essence or haecceity, a property I cannot fail to have. | |
| From: Roderick Chisholm (Person and Object [1976], 1.5) | |
| A reaction: Only a philosopher (and a modern analytic one at that) would imagine that this was some crucial insight into how we know our own identities. |
| 15815 | Sartre says the ego is 'opaque'; I prefer to say that it is 'transparent' [Chisholm] |
| Full Idea: Sartre says the ego is 'opaque'; I would think it better to say that the ego is 'transparent'. | |
| From: Roderick Chisholm (Person and Object [1976], 1.8) | |
| A reaction: Insofar as we evidently have a self, I would say it is neither. It is directly experienced, through willing, motivation, and mental focus. |
| 15813 | People use 'I' to refer to themselves, with the meaning of their own individual essence [Chisholm] |
| Full Idea: Each person uses the first person pronoun to refer to himself, and in such a way that its reference (Bedeutung) is to himself and its intention (Sinn) is his own individual essence. | |
| From: Roderick Chisholm (Person and Object [1976], 1.5) | |
| A reaction: I think this is exactly right, and may be the basis of the way we essentialise in our understanding of the rest of reality. I have a strong notion of what is essential in me and what is not. |
| 15803 | Bad theories of the self see it as abstract, or as a bundle, or as a process [Chisholm] |
| Full Idea: Some very strange theories of the self suggest it is an abstract object, such as a class, or a property, or a function. Some theories imply that I am a collection, or a bundle, or a structure, or an event, or a process (or even a verb!). | |
| From: Roderick Chisholm (Person and Object [1976], Intro 4) | |
| A reaction: I certainly reject the abstract lot, but the second lot doesn't sound so silly to me, especially 'structure' and 'process'. I don't buy the idea that the Self is an indivisible monad. It is a central aspect of brain process - the prioritiser of thought. |
| 3444 | If actions are not caused by other events, and are not causeless, they must be caused by the person [Chisholm] |
| Full Idea: If the action is not caused by some other event, and it is not causeless, this leaves the possibility that it is caused by something else instead, and this something can only be the agent, the man. | |
| From: Roderick Chisholm (Human Freedom and the Self [1964], p.28) |
| 3446 | For Hobbes (but not for Kant) a person's actions can be deduced from their desires and beliefs [Chisholm] |
| Full Idea: According to Hobbes, if we fully know what a man desires and believes, and we know the state of his physical stimuli, we may logically deduce what he will try to do. But Kant says no such statements can ever imply what a man will do. | |
| From: Roderick Chisholm (Human Freedom and the Self [1964], p.32) |
| 9268 | If free will miraculously interrupts causation, animals might do that; why would we want to do it? [Frankfurt on Chisholm] |
| Full Idea: Chisholm holds the quaint doctrine that human freedom entails an absence of causal determination; a free action is a miracle. This gives no basis for doubting that animals have such freedom; and why would we care whether we can interrupt the causal order? | |
| From: comment on Roderick Chisholm (Human Freedom and the Self [1964]) by Harry G. Frankfurt - Freedom of the Will and concept of a person §IV | |
| A reaction: [compressed] Chisholm is the spokesman for 'agent causation', Frankfurt for freedom as second-level volitions. I'm with Frankfurt. The belief in 'agents' and 'free will' may sound plausible, until the proposal is spelled out in causal terms. |
| 15821 | Determinism claims that every event has a sufficient causal pre-condition [Chisholm] |
| Full Idea: Determinism is the proposition that, for every event that occurs, there occurs a sufficient causal condition of that event. | |
| From: Roderick Chisholm (Person and Object [1976], 2.2) | |
| A reaction: You need an ontology of events to put it precisely this way. Doesn't it also work the other way: that there is an event for every sufficient causal condition? The beginning and the end of reality pose problems. |
| 3192 | Basic logic can be done by syntax, with no semantics [Gödel, by Rey] |
| Full Idea: Gödel in his completeness theorem for first-order logic showed that a certain set of syntactically specifiable rules was adequate to capture all first-order valid arguments. No semantics (e.g. reference, truth, validity) was necessary. | |
| From: report of Kurt Gödel (On Formally Undecidable Propositions [1931]) by Georges Rey - Contemporary Philosophy of Mind 8.2 | |
| A reaction: This implies that a logic machine is possible, but we shouldn't raise our hopes for proper rationality. Validity can be shown for purely algebraic arguments, but rationality requires truth as well as validity, and that needs propositions and semantics. |
| 20062 | If a desire leads to a satisfactory result by an odd route, the causal theory looks wrong [Chisholm] |
| Full Idea: If someone wants to kill his uncle to inherit a fortune, and having this desire makes him so agitated that he loses control of his car and kills a pedestrian, who turns out to be his uncle, the conditions of the causal theory seem to be satisfied. | |
| From: Roderick Chisholm (Freedom and Action [1966]), quoted by Rowland Stout - Action 6 'Deviant' | |
| A reaction: This line of argument has undermined all sorts of causal theories that were fashionable in the 1960s and 70s. Explanation should lead to understanding, but a deviant causal chain doesn't explain the outcome. The causal theory can be tightened. |
| 20054 | There has to be a brain event which is not caused by another event, but by the agent [Chisholm] |
| Full Idea: There must be some event A, presumably some cerebral event, which is not caused by any other event, but by the agent. | |
| From: Roderick Chisholm (Freedom and Action [1966], p.20), quoted by Rowland Stout - Action 4 'Agent' | |
| A reaction: I'm afraid this thought strikes me as quaintly ridiculous. What kind of metaphysics can allow causation outside the natural nexus, yet occuring within the physical brain? This is a relic of religious dualism. Let it go. |
| 3442 | Responsibility seems to conflict with events being either caused or not caused [Chisholm] |
| Full Idea: The free will problem is that humans seem to be responsible, but this seems to conflict with the idea that every event is caused by some other event, and it also conflicts with the view that the action is not caused at all. | |
| From: Roderick Chisholm (Human Freedom and the Self [1964], p.24) |
| 3443 | Desires may rule us, but are we responsible for our desires? [Chisholm] |
| Full Idea: If a flood of desires causes a weak-willed man to give in to temptation, …the question now becomes, is he responsible for the beliefs and desires he happens to have? | |
| From: Roderick Chisholm (Human Freedom and the Self [1964], p.25) |
| 15824 | There are mere omissions (through ignorance, perhaps), and people can 'commit an omission' [Chisholm] |
| Full Idea: If a man does not respond to a greeting, if he was unaware that he was addressed then his failure to respond may be a mere omission. But if he intended to snub the man, then he could be said to have 'committed the omission'. | |
| From: Roderick Chisholm (Person and Object [1976], 2.6) | |
| A reaction: Chisholm has an extensive knowledge of Catholic theology. These neat divisions are subject to vagueness and a continuum of cases in real life. |
| 6005 | Animals are dangerous and nourishing, and can't form contracts of justice [Hermarchus, by Sedley] |
| Full Idea: Hermarchus said that animal killing is justified by considerations of human safety and nourishment and by animals' inability to form contractual relations of justice with us. | |
| From: report of Hermarchus (fragments/reports [c.270 BCE]) by David A. Sedley - Hermarchus | |
| A reaction: Could the last argument be used to justify torturing animals? Or could we eat a human who was too brain-damaged to form contracts? |
| 15822 | The concept of physical necessity is basic to both causation, and to the concept of nature [Chisholm] |
| Full Idea: It is generally agreed, I think, that the concept of physical necessity, or a law of nature, is fundamental to the theory of causation and, more generally, to the concept of nature. | |
| From: Roderick Chisholm (Person and Object [1976], 2.3) | |
| A reaction: This seems intuitively right, but we might be able to formulate a concept of nature that had a bit less necessity in it, especially if we read a few books on quantum theory first. |
| 15823 | Some propose a distinct 'agent causation', as well as 'event causation' [Chisholm] |
| Full Idea: Sometimes a distinction is made between 'event causation' and 'agent causation' and it has been suggested that there is an unbridgeable gap between the two. | |
| From: Roderick Chisholm (Person and Object [1976], 2.5) | |
| A reaction: Nope, don't buy that. I connect it with Davidson's 'anomalous monism', that tries to combine one substance with separate laws of action. The metaphysical price for such a theory is too high to pay. |
| 3445 | Causation among objects relates either events or states [Chisholm] |
| Full Idea: Between natural objects we may say that causation is a relation between events or states of affairs. | |
| From: Roderick Chisholm (Human Freedom and the Self [1964], p.28) |
| 15820 | A 'law of nature' is just something which is physically necessary [Chisholm] |
| Full Idea: When we say something is 'physically necessary' we can replace it with 'law of nature'. | |
| From: Roderick Chisholm (Person and Object [1976], 2.2) | |
| A reaction: [plucked out of context even more than usual!] This is illuminating about what contemporary philosophers (such as Armstrong) seem to mean by a law of nature. It is not some grand equation, but a small local necessary connection. |