Combining Texts

All the ideas for 'Abstract Objects: a Case Study', 'Naming and Necessity preface' and 'In Defence of Pure Reason'

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27 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
Philosophy is a priori if it is anything [Bonjour]
2. Reason / A. Nature of Reason / 3. Pure Reason
Perceiving necessary connections is the essence of reasoning [Bonjour]
2. Reason / A. Nature of Reason / 6. Coherence
Coherence can't be validated by appeal to coherence [Bonjour]
4. Formal Logic / D. Modal Logic ML / 1. Modal Logic
Possible worlds allowed the application of set-theoretic models to modal logic [Kripke]
5. Theory of Logic / F. Referring in Logic / 1. Naming / c. Names as referential
A man has two names if the historical chains are different - even if they are the same! [Kripke]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
Mathematics is both necessary and a priori because it really consists of logical truths [Yablo]
6. Mathematics / C. Sources of Mathematics / 9. Fictional Mathematics
Putting numbers in quantifiable position (rather than many quantifiers) makes expression easier [Yablo]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
We are thought to know concreta a posteriori, and many abstracta a priori [Yablo]
Concrete objects have few essential properties, but properties of abstractions are mostly essential [Yablo]
9. Objects / F. Identity among Objects / 1. Concept of Identity
With the necessity of self-identity plus Leibniz's Law, identity has to be an 'internal' relation [Kripke]
9. Objects / F. Identity among Objects / 8. Leibniz's Law
The indiscernibility of identicals is as self-evident as the law of contradiction [Kripke]
10. Modality / B. Possibility / 1. Possibility
The concept of possibility is prior to that of necessity [Bonjour]
10. Modality / C. Sources of Modality / 1. Sources of Necessity
I don't think possible worlds reductively reveal the natures of modal operators etc. [Kripke]
10. Modality / D. Knowledge of Modality / 2. A Priori Contingent
The very act of designating of an object with properties gives knowledge of a contingent truth [Kripke]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
Instead of talking about possible worlds, we can always say "It is possible that.." [Kripke]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
Probability with dice uses possible worlds, abstractions which fictionally simplify things [Kripke]
12. Knowledge Sources / C. Rationalism / 1. Rationalism
Moderate rationalists believe in fallible a priori justification [Bonjour]
Our rules of thought can only be judged by pure rational insight [Bonjour]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / d. Rational foundations
A priori justification can vary in degree [Bonjour]
A priori justification requires understanding but no experience [Bonjour]
You can't explain away a priori justification as analyticity, and you can't totally give it up [Bonjour]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / f. Foundationalism critique
The induction problem blocks any attempted proof of physical statements [Bonjour]
13. Knowledge Criteria / C. External Justification / 1. External Justification
Externalist theories of justification don't require believers to have reasons for their beliefs [Bonjour]
13. Knowledge Criteria / C. External Justification / 10. Anti External Justification
Externalism means we have no reason to believe, which is strong scepticism [Bonjour]
14. Science / C. Induction / 2. Aims of Induction
Induction must go beyond the evidence, in order to explain why the evidence occurred [Bonjour]
18. Thought / C. Content / 1. Content
All thought represents either properties or indexicals [Bonjour]
19. Language / F. Communication / 6. Interpreting Language / b. Indeterminate translation
Indeterminacy of translation is actually indeterminacy of meaning and belief [Bonjour]