16 ideas
10882 | Predicative definitions only refer to entities outside the defined collection [Horsten] |
10061 | The If-thenist view only seems to work for the axiomatised portions of mathematics [Musgrave] |
10065 | Perhaps If-thenism survives in mathematics if we stick to first-order logic [Musgrave] |
10049 | Logical truths may contain non-logical notions, as in 'all men are men' [Musgrave] |
10050 | A statement is logically true if it comes out true in all interpretations in all (non-empty) domains [Musgrave] |
10884 | A theory is 'categorical' if it has just one model up to isomorphism [Horsten] |
10885 | Computer proofs don't provide explanations [Horsten] |
10058 | No two numbers having the same successor relies on the Axiom of Infinity [Musgrave] |
10881 | The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten] |
10062 | Formalism seems to exclude all creative, growing mathematics [Musgrave] |
10063 | Formalism is a bulwark of logical positivism [Musgrave] |
15797 | All structures are dispositional, objects are dispositions sets, and events manifest dispositions [Fetzer] |
15800 | All events and objects are dispositional, and hence all structural properties are dispositional [Fetzer] |
10060 | Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave] |
15798 | Kinds are arrangements of dispositions [Fetzer] |
15799 | Lawlike sentences are general attributions of disposition to all members of some class [Fetzer] |