Combining Philosophers

Ideas for Rayo,A/Uzquiasno,G, Horsten,L/Pettigrew,R and Nicole Oresme

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6 ideas

5. Theory of Logic / A. Overview of Logic / 9. Philosophical Logic

18739

Three stages of philosophical logic: syntactic (1905-55), possible worlds (1963-85), widening (1990-) [Horsten/Pettigrew]

5. Theory of Logic / E. Structures of Logic / 1. Logical Form

18741

Logical formalization makes concepts precise, and also shows their interrelation [Horsten/Pettigrew]

5. Theory of Logic / G. Quantification / 2. Domain of Quantification

13449

We could have unrestricted quantification without having an all-inclusive domain [Rayo/Uzquiano]

13450

Absolute generality is impossible, if there are indefinitely extensible concepts like sets and ordinals [Rayo/Uzquiano]

5. Theory of Logic / G. Quantification / 5. Second-Order Quantification

13453

Perhaps second-order quantifications cover concepts of objects, rather than plain objects [Rayo/Uzquiano]

5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models

18744

Models are sets with functions and relations, and truth built up from the components [Horsten/Pettigrew]