Combining Texts

All the ideas for '67: Platonic Questions', 'The Boundary Stones of Thought' and 'Thought'

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67 ideas

1. Philosophy / E. Nature of Metaphysics / 6. Metaphysics as Conceptual
Logic doesn't have a metaphysical basis, but nor can logic give rise to the metaphysics [Rumfitt]
2. Reason / A. Nature of Reason / 1. On Reason
Inference is never a conscious process [Harman]
2. Reason / A. Nature of Reason / 4. Aims of Reason
Reasoning might be defined in terms of its functional role, which is to produce knowledge [Harman]
2. Reason / A. Nature of Reason / 9. Limits of Reason
If you believe that some of your beliefs are false, then at least one of your beliefs IS false [Harman]
3. Truth / A. Truth Problems / 1. Truth
The idea that there are unrecognised truths is basic to our concept of truth [Rumfitt]
3. Truth / B. Truthmakers / 7. Making Modal Truths
'True at a possibility' means necessarily true if what is said had obtained [Rumfitt]
4. Formal Logic / B. Propositional Logic PL / 1. Propositional Logic
Semantics for propositions: 1) validity preserves truth 2) non-contradition 3) bivalence 4) truth tables [Rumfitt]
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / h. System S5
'Absolute necessity' would have to rest on S5 [Rumfitt]
4. Formal Logic / E. Nonclassical Logics / 2. Intuitionist Logic
It is the second-order part of intuitionistic logic which actually negates some classical theorems [Rumfitt]
Intuitionists can accept Double Negation Elimination for decidable propositions [Rumfitt]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Most set theorists doubt bivalence for the Continuum Hypothesis, but still use classical logic [Rumfitt]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
The iterated conception of set requires continual increase in axiom strength [Rumfitt]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / b. Axiom of Extensionality I
A set may well not consist of its members; the empty set, for example, is a problem [Rumfitt]
A set can be determinate, because of its concept, and still have vague membership [Rumfitt]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / g. Axiom of Powers VI
If the totality of sets is not well-defined, there must be doubt about the Power Set Axiom [Rumfitt]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
Any two states are logically linked, by being entailed by their conjunction [Harman]
Logic is higher-order laws which can expand the range of any sort of deduction [Rumfitt]
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
Deductive logic is the only logic there is [Harman]
The case for classical logic rests on its rules, much more than on the Principle of Bivalence [Rumfitt]
Classical logic rules cannot be proved, but various lines of attack can be repelled [Rumfitt]
If truth-tables specify the connectives, classical logic must rely on Bivalence [Rumfitt]
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
Logical consequence is a relation that can extended into further statements [Rumfitt]
5. Theory of Logic / B. Logical Consequence / 3. Deductive Consequence |-
Normal deduction presupposes the Cut Law [Rumfitt]
5. Theory of Logic / B. Logical Consequence / 5. Modus Ponens
You don't have to accept the conclusion of a valid argument [Harman]
5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
When faced with vague statements, Bivalence is not a compelling principle [Rumfitt]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
Logical form is the part of a sentence structure which involves logical elements [Harman]
A theory of truth in a language must involve a theory of logical form [Harman]
Our underlying predicates represent words in the language, not universal concepts [Harman]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
In specifying a logical constant, use of that constant is quite unavoidable [Rumfitt]
5. Theory of Logic / H. Proof Systems / 4. Natural Deduction
Introduction rules give deduction conditions, and Elimination says what can be deduced [Rumfitt]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Logical truths are just the assumption-free by-products of logical rules [Rumfitt]
5. Theory of Logic / K. Features of Logics / 10. Monotonicity
Monotonicity means there is a guarantee, rather than mere inductive support [Rumfitt]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
Maybe an ordinal is a property of isomorphic well-ordered sets, and not itself a set [Rumfitt]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
Infinitesimals do not stand in a determinate order relation to zero [Rumfitt]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
Cantor and Dedekind aimed to give analysis a foundation in set theory (rather than geometry) [Rumfitt]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
An object that is not clearly red or orange can still be red-or-orange, which sweeps up problem cases [Rumfitt]
The extension of a colour is decided by a concept's place in a network of contraries [Rumfitt]
10. Modality / A. Necessity / 5. Metaphysical Necessity
Metaphysical modalities respect the actual identities of things [Rumfitt]
10. Modality / A. Necessity / 6. Logical Necessity
S5 is the logic of logical necessity [Rumfitt]
10. Modality / B. Possibility / 1. Possibility
Since possibilities are properties of the world, calling 'red' the determination of a determinable seems right [Rumfitt]
If two possibilities can't share a determiner, they are incompatible [Rumfitt]
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
Possibilities are like possible worlds, but not fully determinate or complete [Rumfitt]
11. Knowledge Aims / A. Knowledge / 2. Understanding
Medieval logicians said understanding A also involved understanding not-A [Rumfitt]
11. Knowledge Aims / A. Knowledge / 4. Belief / e. Belief holism
You have to reaffirm all your beliefs when you make a logical inference [Harman]
12. Knowledge Sources / A. A Priori Knowledge / 8. A Priori as Analytic
Only lack of imagination makes us think that 'cats are animals' is analytic [Harman]
Analyticity is postulated because we can't imagine some things being true, but we may just lack imagination [Harman]
12. Knowledge Sources / E. Direct Knowledge / 4. Memory
Memories are not just preserved, they are constantly reinferred [Harman]
13. Knowledge Criteria / A. Justification Problems / 3. Internal or External / b. Pro-externalism
People's reasons for belief are rarely conscious [Harman]
13. Knowledge Criteria / B. Internal Justification / 3. Evidentialism / a. Evidence
We don't distinguish between accepting, and accepting as evidence [Harman]
In English 'evidence' is a mass term, qualified by 'little' and 'more' [Rumfitt]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
In negative coherence theories, beliefs are prima facie justified, and don't need initial reasons [Harman, by Pollock/Cruz]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / b. Pro-coherentism
Coherence avoids scepticism, because it doesn't rely on unprovable foundations [Harman]
14. Science / C. Induction / 2. Aims of Induction
Induction is an attempt to increase the coherence of our explanations [Harman]
15. Nature of Minds / A. Nature of Mind / 2. Psuche
When the soul is intelligent and harmonious, it is part of god and derives from god [Plutarch]
16. Persons / C. Self-Awareness / 2. Knowing the Self
We see ourselves in the world as a map [Harman]
17. Mind and Body / B. Behaviourism / 2. Potential Behaviour
Defining dispositions is circular [Harman]
17. Mind and Body / E. Mind as Physical / 4. Connectionism
Could a cloud have a headache if its particles formed into the right pattern? [Harman]
18. Thought / B. Mechanics of Thought / 4. Language of Thought
Are there any meanings apart from in a language? [Harman]
19. Language / A. Nature of Meaning / 1. Meaning
Speech acts, communication, representation and truth form a single theory [Harman]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
We understand conditionals, but disagree over their truth-conditions [Rumfitt]
19. Language / A. Nature of Meaning / 8. Synonymy
There is only similarity in meaning, never sameness in meaning [Harman]
19. Language / A. Nature of Meaning / 9. Ambiguity
Ambiguity is when different underlying truth-conditional structures have the same surface form [Harman]
19. Language / C. Assigning Meanings / 6. Truth-Conditions Semantics
Truth in a language is explained by how the structural elements of a sentence contribute to its truth conditions [Harman]
19. Language / D. Propositions / 1. Propositions
Sentences are different from propositions, since two sentences can express one proposition [Harman]
19. Language / E. Analyticity / 3. Analytic and Synthetic
The analytic/synthetic distinction is a silly division of thought into encyclopaedia and dictionary [Harman]
19. Language / F. Communication / 3. Denial
The truth grounds for 'not A' are the possibilities incompatible with truth grounds for A [Rumfitt]
19. Language / F. Communication / 6. Interpreting Language / b. Indeterminate translation
Many predicates totally resist translation, so a universal underlying structure to languages is unlikely [Harman]