Combining Philosophers

All the ideas for Ryan Wasserman, Gerhard Gentzen and James O. Young

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20 ideas

3. Truth / B. Truthmakers / 12. Rejecting Truthmakers
For idealists reality is like a collection of beliefs, so truths and truthmakers are not distinct [Young,JO]
3. Truth / D. Coherence Truth / 1. Coherence Truth
Coherence theories differ over the coherence relation, and over the set of proposition with which to cohere [Young,JO]
Two propositions could be consistent with your set, but inconsistent with one another [Young,JO]
Coherence with actual beliefs, or our best beliefs, or ultimate ideal beliefs? [Young,JO]
Coherent truth is not with an arbitrary set of beliefs, but with a set which people actually do believe [Young,JO]
3. Truth / D. Coherence Truth / 2. Coherence Truth Critique
How do you identify the best coherence set; and aren't there truths which don't cohere? [Young,JO]
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
Deflationary theories reject analysis of truth in terms of truth-conditions [Young,JO]
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
Gentzen introduced a natural deduction calculus (NK) in 1934 [Gentzen, by Read]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
The inferential role of a logical constant constitutes its meaning [Gentzen, by Hanna]
The logical connectives are 'defined' by their introduction rules [Gentzen]
Each logical symbol has an 'introduction' rule to define it, and hence an 'elimination' rule [Gentzen]
5. Theory of Logic / H. Proof Systems / 4. Natural Deduction
Natural deduction shows the heart of reasoning (and sequent calculus is just a tool) [Gentzen, by Hacking]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
Gentzen proved the consistency of arithmetic from assumptions beyond arithmetic [Gentzen, by Musgrave]
9. Objects / C. Structure of Objects / 6. Constitution of an Object
Constitution is identity (being in the same place), or it isn't (having different possibilities) [Wasserman]
Constitution is not identity, because it is an asymmetric dependence relation [Wasserman]
There are three main objections to seeing constitution as different from identity [Wasserman]
9. Objects / C. Structure of Objects / 8. Parts of Objects / a. Parts of objects
The weight of a wall is not the weight of its parts, since that would involve double-counting [Wasserman]
9. Objects / F. Identity among Objects / 3. Relative Identity
Relative identity may reject transitivity, but that suggests that it isn't about 'identity' [Wasserman]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
Are truth-condtions other propositions (coherence) or features of the world (correspondence)? [Young,JO]
Coherence truth suggests truth-condtions are assertion-conditions, which need knowledge of justification [Young,JO]