Combining Philosophers

All the ideas for H.Putnam/P.Oppenheim, James O. Young and Michal Walicki

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29 ideas

3. Truth / B. Truthmakers / 12. Rejecting Truthmakers
19079 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
19076 Coherence theories differ over the coherence relation, and over the set of proposition with which to cohere [Young,JO]
19077 Two propositions could be consistent with your set, but inconsistent with one another [Young,JO]
19078 Coherence with actual beliefs, or our best beliefs, or ultimate ideal beliefs? [Young,JO]
19084 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
19083 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
19075 Deflationary theories reject analysis of truth in terms of truth-conditions [Young,JO]
4. Formal Logic / B. Propositional Logic PL / 1. Propositional Logic
17749 Post proved the consistency of propositional logic in 1921 [Walicki]
17765 Propositional language can only relate statements as the same or as different [Walicki]
4. Formal Logic / B. Propositional Logic PL / 3. Truth Tables
17764 Boolean connectives are interpreted as functions on the set {1,0} [Walicki]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
17752 The empty set is useful for defining sets by properties, when the members are not yet known [Walicki]
17753 The empty set avoids having to take special precautions in case members vanish [Walicki]
4. Formal Logic / F. Set Theory ST / 6. Ordering in Sets
17759 Ordinals play the central role in set theory, providing the model of well-ordering [Walicki]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
17741 To determine the patterns in logic, one must identify its 'building blocks' [Walicki]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
17747 A 'model' of a theory specifies interpreting a language in a domain to make all theorems true [Walicki]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
17748 The L-S Theorem says no theory (even of reals) says more than a natural number theory [Walicki]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
17761 A compact axiomatisation makes it possible to understand a field as a whole [Walicki]
17763 Axiomatic systems are purely syntactic, and do not presuppose any interpretation [Walicki]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
17758 Ordinals are transitive sets of transitive sets; or transitive sets totally ordered by inclusion [Walicki]
17755 Ordinals are the empty set, union with the singleton, and any arbitrary union of ordinals [Walicki]
17756 The union of finite ordinals is the first 'limit ordinal'; 2ω is the second... [Walicki]
17760 Two infinite ordinals can represent a single infinite cardinal [Walicki]
17757 Members of ordinals are ordinals, and also subsets of ordinals [Walicki]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
17762 In non-Euclidean geometry, all Euclidean theorems are valid that avoid the fifth postulate [Walicki]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / f. Mathematical induction
17754 Inductive proof depends on the choice of the ordering [Walicki]
10. Modality / A. Necessity / 2. Nature of Necessity
17742 Scotus based modality on semantic consistency, instead of on what the future could allow [Walicki]
14. Science / D. Explanation / 2. Types of Explanation / j. Explanations by reduction
20653 Six reduction levels: groups, lives, cells, molecules, atoms, particles [Putnam/Oppenheim, by Watson]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
19074 Are truth-condtions other propositions (coherence) or features of the world (correspondence)? [Young,JO]
19082 Coherence truth suggests truth-condtions are assertion-conditions, which need knowledge of justification [Young,JO]