Combining Philosophers

All the ideas for George Boole, Nicholas Bourbaki and U Kriegel / K Williford

expand these ideas     |    start again     |     specify just one area for these philosophers

10 ideas

4. Formal Logic / B. Propositional Logic PL / 1. Propositional Logic
8083 Boole applied normal algebra to logic, aiming at an algebra of thought [Boole, by Devlin]
7727 Boole's notation can represent syllogisms and propositional arguments, but not both at once [Boole, by Weiner]
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
8686 Boole made logic more mathematical, with algebra, quantifiers and probability [Boole, by Friend]
5. Theory of Logic / H. Proof Systems / 2. Axiomatic Proof
22277 Boole's method was axiomatic, achieving economy, plus multiple interpretations [Boole, by Potter]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
10190 From the axiomatic point of view, mathematics is a storehouse of abstract structures [Bourbaki]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / e. Cause of consciousness
9312 Consciousness is reductively explained either by how it represents, or how it is represented [Kriegel/Williford]
9313 Experiences can be represented consciously or unconsciously, so representation won't explain consciousness [Kriegel/Williford]
9315 Red tomato experiences are conscious if the state represents the tomato and itself [Kriegel/Williford]
9316 How is self-representation possible, does it produce a regress, and is experience like that? [Kriegel/Williford]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / f. Higher-order thought
9314 Unfortunately, higher-order representations could involve error [Kriegel/Williford]