Combining Texts

All the ideas for 'The Logic of Boundaryless Concepts', 'works' and 'Events as property exemplifications'

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13 ideas

5. Theory of Logic / A. Overview of Logic / 2. History of Logic
11022 Gentzen introduced a natural deduction calculus (NK) in 1934 [Gentzen, by Read]
5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
9390 Logic guides thinking, but it isn't a substitute for it [Rumfitt]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
11065 The inferential role of a logical constant constitutes its meaning [Gentzen, by Hanna]
11023 The logical connectives are 'defined' by their introduction rules [Gentzen]
11213 Each logical symbol has an 'introduction' rule to define it, and hence an 'elimination' rule [Gentzen]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
10067 Gentzen proved the consistency of arithmetic from assumptions beyond arithmetic [Gentzen, by Musgrave]
7. Existence / B. Change in Existence / 4. Events / c. Reduction of events
10369 How fine-grained Kim's events are depends on how finely properties are individuated [Kim, by Schaffer,J]
8976 If events are ordered triples of items, such things seem to be sets, and hence abstract [Simons on Kim]
8975 Events cannot be merely ordered triples, but must specify the link between the elements [Kim, by Simons]
8974 Events are composed of an object with an attribute at a time [Kim, by Simons]
8977 Since properties like self-identity and being 2+2=4 are timeless, Kim must restrict his properties [Simons on Kim]
8980 Kim's theory results in too many events [Simons on Kim]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
9389 Vague membership of sets is possible if the set is defined by its concept, not its members [Rumfitt]