Combining Philosophers

Ideas for H.Putnam/P.Oppenheim, Frank P. Ramsey and Michal Walicki

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7 ideas

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 / D. Assumptions for Logic / 4. Identity in Logic

13427

Either 'a = b' vacuously names the same thing, or absurdly names different things [Ramsey]

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]

5. Theory of Logic / L. Paradox / 1. Paradox

13334

Contradictions are either purely logical or mathematical, or they involved thought and language [Ramsey]