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All the ideas for 'Frege philosophy of mathematics', 'In a Critical Condition' and 'Logical Properties'

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108 ideas

1. Philosophy / F. Analytic Philosophy / 4. Conceptual Analysis
It seems likely that analysis of concepts is impossible, but justification can survive without it [Fodor]
1. Philosophy / F. Analytic Philosophy / 7. Limitations of Analysis
Despite all the efforts of philosophers, nothing can ever be reduced to anything [Fodor]
2. Reason / A. Nature of Reason / 8. Naturalising Reason
Turing invented the idea of mechanical rationality (just based on syntax) [Fodor]
2. Reason / D. Definition / 1. Definitions
Definitions identify two concepts, so they presuppose identity [McGinn]
2. Reason / D. Definition / 7. Contextual Definition
A contextual definition permits the elimination of the expression by a substitution [Dummett]
2. Reason / E. Argument / 2. Transcendental Argument
Transcendental arguments move from knowing Q to knowing P because it depends on Q [Fodor]
2. Reason / F. Fallacies / 2. Infinite Regress
Regresses are only vicious in the context of an explanation [McGinn]
3. Truth / A. Truth Problems / 4. Uses of Truth
Truth is a method of deducing facts from propositions [McGinn]
3. Truth / C. Correspondence Truth / 3. Correspondence Truth critique
'Snow does not fall' corresponds to snow does fall [McGinn]
The idea of truth is built into the idea of correspondence [McGinn]
3. Truth / D. Coherence Truth / 2. Coherence Truth Critique
The coherence theory of truth implies idealism, because facts are just coherent beliefs [McGinn]
3. Truth / H. Deflationary Truth / 3. Minimalist Truth
Truth is the property of propositions that makes it possible to deduce facts [McGinn]
Without the disquotation device for truth, you could never form beliefs from others' testimony [McGinn]
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
In classical logic, logical truths are valid formulas; in higher-order logics they are purely logical [Dummett]
5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic
In 'x is F and x is G' we must assume the identity of x in the two statements [McGinn]
Both non-contradiction and excluded middle need identity in their formulation [McGinn]
Identity is unitary, indefinable, fundamental and a genuine relation [McGinn]
5. Theory of Logic / G. Quantification / 1. Quantification
The quantifier is overrated as an analytical tool [McGinn]
Existential quantifiers just express the quantity of things, leaving existence to the predicate 'exists' [McGinn]
5. Theory of Logic / G. Quantification / 3. Objectual Quantification
'Partial quantifier' would be a better name than 'existential quantifier', as no existence would be implied [McGinn]
5. Theory of Logic / G. Quantification / 7. Unorthodox Quantification
We need an Intentional Quantifier ("some of the things we talk about.."), so existence goes into the proposition [McGinn]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
A prime number is one which is measured by a unit alone [Dummett]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
Addition of quantities is prior to ordering, as shown in cyclic domains like angles [Dummett]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
A number is a multitude composed of units [Dummett]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / e. Counting by correlation
We understand 'there are as many nuts as apples' as easily by pairing them as by counting them [Dummett]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
The identity of a number may be fixed by something outside structure - by counting [Dummett]
Numbers aren't fixed by position in a structure; it won't tell you whether to start with 0 or 1 [Dummett]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Set theory isn't part of logic, and why reduce to something more complex? [Dummett]
7. Existence / A. Nature of Existence / 1. Nature of Existence
Existence is a primary quality, non-existence a secondary quality [McGinn]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
Existence can't be analysed as instantiating a property, as instantiation requires existence [McGinn]
We can't analyse the sentence 'something exists' in terms of instantiated properties [McGinn]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
The distinction of concrete/abstract, or actual/non-actual, is a scale, not a dichotomy [Dummett]
7. Existence / D. Theories of Reality / 2. Realism
Realism is just the application of two-valued semantics to sentences [Dummett]
7. Existence / D. Theories of Reality / 3. Reality
If causal power is the test for reality, that will exclude necessities and possibilities [McGinn]
7. Existence / D. Theories of Reality / 8. Facts / b. Types of fact
Facts are object-plus-extension, or property-plus-set-of-properties, or object-plus-property [McGinn]
8. Modes of Existence / B. Properties / 7. Emergent Properties
The world is full of messy small things producing stable large-scale properties (e.g. mountains) [Fodor]
8. Modes of Existence / D. Universals / 6. Platonic Forms / b. Partaking
Don't define something by a good instance of it; a good example is a special case of the ordinary example [Fodor]
8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
Nominalism assumes unmediated mental contact with objects [Dummett]
9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta
The existence of abstract objects is a pseudo-problem [Dummett]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
Abstract objects nowadays are those which are objective but not actual [Dummett]
It is absurd to deny the Equator, on the grounds that it lacks causal powers [Dummett]
'We've crossed the Equator' has truth-conditions, so accept the Equator - and it's an object [Dummett]
9. Objects / A. Existence of Objects / 2. Abstract Objects / d. Problems with abstracta
Abstract objects need the context principle, since they can't be encountered directly [Dummett]
9. Objects / F. Identity among Objects / 1. Concept of Identity
Identity propositions are not always tautological, and have a key epistemic role [McGinn]
9. Objects / F. Identity among Objects / 2. Defining Identity
Content is replaceable if identical, so replaceability can't define identity [Dummett, by Dummett]
Frege introduced criteria for identity, but thought defining identity was circular [Dummett]
Identity is as basic as any concept could ever be [McGinn]
9. Objects / F. Identity among Objects / 4. Type Identity
Type-identity is close similarity in qualities [McGinn]
Qualitative identity is really numerical identity of properties [McGinn]
Qualitative identity can be analysed into numerical identity of the type involved [McGinn]
It is best to drop types of identity, and speak of 'identity' or 'resemblance' [McGinn]
9. Objects / F. Identity among Objects / 5. Self-Identity
Existence is a property of all objects, but less universal than self-identity, which covers even conceivable objects [McGinn]
Sherlock Holmes does not exist, but he is self-identical [McGinn]
9. Objects / F. Identity among Objects / 6. Identity between Objects
All identity is necessary, though identity statements can be contingently true [McGinn]
9. Objects / F. Identity among Objects / 8. Leibniz's Law
Leibniz's Law says 'x = y iff for all P, Px iff Py' [McGinn]
Leibniz's Law is so fundamental that it almost defines the concept of identity [McGinn]
Leibniz's Law presupposes the notion of property identity [McGinn]
10. Modality / C. Sources of Modality / 5. Modality from Actuality
Modality is not objects or properties, but the type of binding of objects to properties [McGinn]
10. Modality / E. Possible worlds / 1. Possible Worlds / b. Impossible worlds
If 'possible' is explained as quantification across worlds, there must be possible worlds [McGinn]
11. Knowledge Aims / A. Knowledge / 4. Belief / e. Belief holism
How do you count beliefs? [Fodor]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / c. Empirical idealism
Berkeley seems to have mistakenly thought that chairs are the same as after-images [Fodor]
12. Knowledge Sources / B. Perception / 6. Inference in Perception
Maybe explaining the mechanics of perception will explain the concepts involved [Fodor]
12. Knowledge Sources / C. Rationalism / 1. Rationalism
Rationalism can be based on an evolved computational brain with innate structure [Fodor]
12. Knowledge Sources / D. Empiricism / 2. Associationism
According to empiricists abstraction is the fundamental mental process [Fodor]
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
Rationalists say there is more to a concept than the experience that prompts it [Fodor]
Necessity and possibility are big threats to the empiricist view of knowledge [McGinn]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
Scepticism about reality is possible because existence isn't part of appearances [McGinn]
15. Nature of Minds / A. Nature of Mind / 1. Mind / b. Purpose of mind
Empirical approaches see mind connections as mirrors/maps of reality [Fodor]
The function of a mind is obvious [Fodor]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / a. Nature of intentionality
Do intentional states explain our behaviour? [Fodor]
16. Persons / B. Nature of the Self / 6. Self as Higher Awareness
If I have a set of mental modules, someone had better be in charge of them! [Fodor]
17. Mind and Body / C. Functionalism / 1. Functionalism
Functionalists see pains as properties involving relations and causation [Fodor]
17. Mind and Body / D. Property Dualism / 3. Property Dualism
Why bother with neurons? You don't explain bird flight by examining feathers [Fodor]
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
Type physicalism is a stronger claim than token physicalism [Fodor]
17. Mind and Body / E. Mind as Physical / 4. Connectionism
Modern connectionism is just Hume's theory of the 'association' of 'ideas' [Fodor]
18. Thought / A. Modes of Thought / 1. Thought
The goal of thought is to understand the world, not instantly sort it into conceptual categories [Fodor]
18. Thought / B. Mechanics of Thought / 3. Modularity of Mind
Modules analyse stimuli, they don't tell you what to do [Fodor]
Blindness doesn't destroy spatial concepts [Fodor]
Something must take an overview of the modules [Fodor]
Modules have in-built specialist information [Fodor]
Modules have encapsulation, inaccessibility, private concepts, innateness [Fodor]
Obvious modules are language and commonsense explanation [Fodor]
Modules make the world manageable [Fodor]
Babies talk in consistent patterns [Fodor]
Rationality rises above modules [Fodor]
18. Thought / B. Mechanics of Thought / 4. Language of Thought
Language is ambiguous, but thought isn't [Fodor]
Mentalese may also incorporate some natural language [Fodor]
Mentalese doesn't require a theory of meaning [Fodor]
18. Thought / C. Content / 9. Conceptual Role Semantics
Content can't be causal role, because causal role is decided by content [Fodor]
18. Thought / D. Concepts / 2. Origin of Concepts / c. Nativist concepts
Experience can't explain itself; the concepts needed must originate outside experience [Fodor]
18. Thought / D. Concepts / 3. Ontology of Concepts / b. Concepts as abilities
Are concepts best seen as capacities? [Fodor]
For Pragmatists having a concept means being able to do something [Fodor]
18. Thought / D. Concepts / 4. Structure of Concepts / i. Conceptual priority
Maybe a concept is 'prior' to another if it can be defined without the second concept [Dummett]
An argument for conceptual priority is greater simplicity in explanation [Dummett]
18. Thought / E. Abstraction / 1. Abstract Thought
Abstract terms are acceptable as long as we know how they function linguistically [Dummett]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
There is no reason why abstraction by equivalence classes should be called 'logical' [Dummett, by Tait]
We arrive at the concept 'suicide' by comparing 'Cato killed Cato' with 'Brutus killed Brutus' [Dummett]
18. Thought / E. Abstraction / 8. Abstractionism Critique
To abstract from spoons (to get the same number as the forks), the spoons must be indistinguishable too [Dummett]
19. Language / A. Nature of Meaning / 3. Meaning as Speaker's Intention
It seems unlikely that meaning can be reduced to communicative intentions, or any mental states [Fodor]
19. Language / A. Nature of Meaning / 7. Meaning Holism / b. Language holism
If to understand "fish" you must know facts about them, where does that end? [Fodor]
19. Language / C. Assigning Meanings / 5. Fregean Semantics
Fregean semantics assumes a domain articulated into individual objects [Dummett]
Semantics should not be based on set-membership, but on instantiation of properties in objects [McGinn]
19. Language / C. Assigning Meanings / 7. Extensional Semantics
Clearly predicates have extensions (applicable objects), but are the extensions part of their meaning? [McGinn]
19. Language / E. Analyticity / 3. Analytic and Synthetic
Analysis is impossible without the analytic/synthetic distinction [Fodor]
19. Language / F. Communication / 4. Private Language
The theory of the content of thought as 'Mentalese' explains why the Private Language Argument doesn't work [Fodor]
27. Natural Reality / C. Space / 3. Points in Space
Why should the limit of measurement be points, not intervals? [Dummett]
28. God / B. Proving God / 2. Proofs of Reason / b. Ontological Proof critique
If Satan is the most imperfect conceivable being, he must have non-existence [McGinn]
I think the fault of the Ontological Argument is taking the original idea to be well-defined [McGinn]