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All the ideas for 'Metaphysics: the logical approach', 'True Believers' and 'Thought and Reality'

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48 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
Metaphysics focuses on Platonism, essentialism, materialism and anti-realism [Benardete,JA]
1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
There are the 'is' of predication (a function), the 'is' of identity (equals), and the 'is' of existence (quantifier) [Benardete,JA]
1. Philosophy / F. Analytic Philosophy / 7. Limitations of Analysis
Analytical philosophy analyses separate concepts successfully, but lacks a synoptic vision of the results [Benardete,JA]
1. Philosophy / G. Scientific Philosophy / 1. Aims of Science
Presumably the statements of science are true, but should they be taken literally or not? [Benardete,JA]
3. Truth / F. Semantic Truth / 2. Semantic Truth
Truth is part of semantics, since valid inference preserves truth [Dummett]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Set theory attempts to reduce the 'is' of predication to mathematics [Benardete,JA]
The set of Greeks is included in the set of men, but isn't a member of it [Benardete,JA]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
The standard Z-F Intuition version of set theory has about ten agreed axioms [Benardete,JA, by PG]
5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
Language can violate bivalence because of non-referring terms or ill-defined predicates [Dummett]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
The law of excluded middle is the logical reflection of the principle of bivalence [Dummett]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
Greeks saw the science of proportion as the link between geometry and arithmetic [Benardete,JA]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
Negatives, rationals, irrationals and imaginaries are all postulated to solve baffling equations [Benardete,JA]
Natural numbers are seen in terms of either their ordinality (Peano), or cardinality (set theory) [Benardete,JA]
7. Existence / B. Change in Existence / 4. Events / a. Nature of events
If slowness is a property of walking rather than the walker, we must allow that events exist [Benardete,JA]
7. Existence / C. Structure of Existence / 8. Stuff / a. Pure stuff
Early pre-Socratics had a mass-noun ontology, which was replaced by count-nouns [Benardete,JA]
7. Existence / D. Theories of Reality / 2. Realism
Philosophers should not presume reality, but only invoke it when language requires it [Dummett]
7. Existence / D. Theories of Reality / 4. Anti-realism
We can't make sense of a world not apprehended by a mind [Dummett]
7. Existence / D. Theories of Reality / 8. Facts / b. Types of fact
Since 'no bird here' and 'no squirrel here' seem the same, we must talk of 'atomic' facts [Dummett]
7. Existence / D. Theories of Reality / 8. Facts / c. Facts and truths
We know we can state facts, with true statements [Dummett]
7. Existence / D. Theories of Reality / 10. Vagueness / d. Vagueness as linguistic
'That is red or orange' might be considered true, even though 'that is red' and 'that is orange' were not [Dummett]
8. Modes of Existence / D. Universals / 6. Platonic Forms / d. Forms critiques
If there is no causal interaction with transcendent Platonic objects, how can you learn about them? [Benardete,JA]
9. Objects / C. Structure of Objects / 5. Composition of an Object
Why should packed-together particles be a thing (Mt Everest), but not scattered ones? [Benardete,JA]
9. Objects / D. Essence of Objects / 6. Essence as Unifier
Could a horse lose the essential property of being a horse, and yet continue to exist? [Benardete,JA]
9. Objects / E. Objects over Time / 2. Objects that Change
If a soldier continues to exist after serving as a soldier, does the wind cease to exist after it ceases to blow? [Benardete,JA]
9. Objects / E. Objects over Time / 8. Continuity of Rivers
One can step into the same river twice, but not into the same water [Benardete,JA]
9. Objects / F. Identity among Objects / 5. Self-Identity
Absolutists might accept that to exist is relative, but relative to what? How about relative to itself? [Benardete,JA]
Maybe self-identity isn't existence, if Pegasus can be self-identical but non-existent [Benardete,JA]
12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori
The clearest a priori knowledge is proving non-existence through contradiction [Benardete,JA]
12. Knowledge Sources / A. A Priori Knowledge / 5. A Priori Synthetic
If we know truths about prime numbers, we seem to have synthetic a priori knowledge of Platonic objects [Benardete,JA]
Logical positivism amounts to no more than 'there is no synthetic a priori' [Benardete,JA]
Assertions about existence beyond experience can only be a priori synthetic [Benardete,JA]
Appeals to intuition seem to imply synthetic a priori knowledge [Benardete,JA]
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
Empirical and a priori knowledge are not distinct, but are extremes of a sliding scale [Dummett]
18. Thought / A. Modes of Thought / 1. Thought
A theory of thought will include propositional attitudes as well as propositions [Dummett]
The theories of meaning and understanding are the only routes to an account of thought [Dummett]
18. Thought / C. Content / 1. Content
States have content if we can predict them well by assuming intentionality [Dennett, by Schulte]
18. Thought / E. Abstraction / 8. Abstractionism Critique
To 'abstract from' is a logical process, as opposed to the old mental view [Dummett]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
To know the truth-conditions of a sentence, you must already know the meaning [Dummett]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
A justificationist theory of meaning leads to the rejection of classical logic [Dummett]
Verificationism could be realist, if we imagined the verification by a superhuman power [Dummett]
If truths about the past depend on memories and current evidence, the past will change [Dummett]
19. Language / A. Nature of Meaning / 6. Meaning as Use
We could only guess the meanings of 'true' and 'false' when sentences were used [Dummett]
19. Language / A. Nature of Meaning / 7. Meaning Holism / a. Sentence meaning
Sentences are the primary semantic units, because they can say something [Dummett]
19. Language / D. Propositions / 1. Propositions
We can't distinguish a proposition from its content [Dummett]
27. Natural Reality / C. Space / 3. Points in Space
Rationalists see points as fundamental, but empiricists prefer regions [Benardete,JA]
27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure
Time is the measure of change, so we can't speak of time before all change [Dummett]
27. Natural Reality / D. Time / 1. Nature of Time / h. Presentism
If Presentism is correct, we cannot even say that the present changes [Dummett]
28. God / B. Proving God / 2. Proofs of Reason / a. Ontological Proof
In the ontological argument a full understanding of the concept of God implies a contradiction in 'There is no God' [Benardete,JA]