Combining Texts

All the ideas for 'The Foundations of Mathematics', 'Semantic Relationism' and 'The Good State'

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28 ideas

5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
18844 You would cripple mathematics if you denied Excluded Middle [Hilbert]
5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic
15592 The usual Tarskian interpretation of variables is to specify their range of values [Fine,K]
15593 Variables can be viewed as special terms - functions taking assignments into individuals [Fine,K]
15590 It seemed that Frege gave the syntax for variables, and Tarski the semantics, and that was that [Fine,K]
15591 In separate expressions variables seem identical in role, but in the same expression they aren't [Fine,K]
15595 The 'algebraic' account of variables reduces quantification to the algebra of its component parts [Fine,K]
15594 'Instantial' accounts of variables say we grasp arbitrary instances from their use in quantification [Fine,K]
5. Theory of Logic / F. Referring in Logic / 1. Naming / b. Names as descriptive
15599 Cicero/Cicero and Cicero/Tully may differ in relationship, despite being semantically the same [Fine,K]
9. Objects / F. Identity among Objects / 1. Concept of Identity
15603 I can only represent individuals as the same if I do not already represent them as the same [Fine,K]
9. Objects / F. Identity among Objects / 5. Self-Identity
15604 If Cicero=Tully refers to the man twice, then surely Cicero=Cicero does as well? [Fine,K]
18. Thought / B. Mechanics of Thought / 5. Mental Files
15602 Mental files are devices for keeping track of basic coordination of objects [Fine,K]
18. Thought / C. Content / 1. Content
15588 You cannot determine the full content from a thought's intrinsic character, as relations are involved [Fine,K]
19. Language / C. Assigning Meanings / 2. Semantics
15596 The standard aim of semantics is to assign a semantic value to each expression [Fine,K]
15587 That two utterances say the same thing may not be intrinsic to them, but involve their relationships [Fine,K]
15589 The two main theories are Holism (which is inferential), and Representational (which is atomistic) [Fine,K]
15598 We should pursue semantic facts as stated by truths in theories (and not put the theories first!) [Fine,K]
15600 Referentialist semantics has objects for names, properties for predicates, and propositions for connectives [Fine,K]
15601 Fregeans approach the world through sense, Referentialists through reference [Fine,K]
19. Language / C. Assigning Meanings / 9. Indexical Semantics
15605 I take indexicals such as 'this' and 'that' to be linked to some associated demonstration [Fine,K]
24. Political Theory / A. Basis of a State / 3. Natural Values / c. Natural rights
23262 Experience, sympathy and history are sensible grounds for laying claim to rights [Grayling]
24. Political Theory / C. Ruling a State / 1. Social Power
23263 Politics is driven by power cliques [Grayling]
24. Political Theory / D. Ideologies / 5. Democracy / a. Nature of democracy
23255 It is essential for democracy that voting is free and well informed [Grayling]
23254 Democracies should require a supermajority for major questions [Grayling]
24. Political Theory / D. Ideologies / 5. Democracy / d. Representative democracy
23260 A cap on time of service would restrict party control and career ambitions [Grayling]
24. Political Theory / D. Ideologies / 5. Democracy / e. Democratic minorities
23253 Majority decisions are only acceptable if the minority interests are not vital [Grayling]
25. Social Practice / B. Equalities / 1. Grounds of equality
23256 Liberty and equality cannot be reconciled [Grayling]
25. Social Practice / D. Justice / 1. Basis of justice
23258 The very concept of democracy entails a need for justice [Grayling]
25. Social Practice / D. Justice / 2. The Law / a. Legal system
23259 There should be separate legislative, executive and judicial institutions [Grayling]