Combining Texts

All the ideas for 'The philosophical basis of intuitionist logic', 'The Theory of Transfinite Numbers' and 'Authority and the Individual'

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25 ideas

4. Formal Logic / E. Nonclassical Logics / 2. Intuitionist Logic
18073 Dummett says classical logic rests on meaning as truth, while intuitionist logic rests on assertability [Dummett, by Kitcher]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
9616 A set is a collection into a whole of distinct objects of our intuition or thought [Cantor]
5. Theory of Logic / G. Quantification / 1. Quantification
19057 Classical quantification is an infinite conjunction or disjunction - but you may not know all the instances [Dummett]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities
15896 Cantor needed Power Set for the reals, but then couldn't count the new collections [Cantor, by Lavine]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
19055 Stating a sentence's truth-conditions is just paraphrasing the sentence [Dummett]
19056 If a sentence is effectively undecidable, we can never know its truth conditions [Dummett]
19. Language / A. Nature of Meaning / 6. Meaning as Use
19054 Meaning as use puts use beyond criticism, and needs a holistic view of language [Dummett]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
23154 We divide mankind into friend and foe, and cooperate with one and compete with the other [Russell]
24. Political Theory / A. Basis of a State / 1. A People / c. A unified people
23153 Gradually loyalty to a creed increased, which could even outweigh nationality [Russell]
23152 Increasingly war expands communities, and unifies them through fear [Russell]
23155 In early societies the leaders needed cohesion, but the rest just had to obey [Russell]
24. Political Theory / A. Basis of a State / 2. Population / b. State population
23156 The economic and political advantages of great size seem to have no upper limit [Russell]
24. Political Theory / B. Nature of a State / 1. Purpose of a State
23157 Government has a negative purpose, to prevent trouble, and a positive aim of realising our desires [Russell]
24. Political Theory / C. Ruling a State / 2. Leaders / b. Monarchy
23151 A monarch is known to everyone in the group, and can thus unite large groups [Russell]
24. Political Theory / C. Ruling a State / 4. Changing the State / b. Devolution
23167 Power should be with smaller bodies, as long as it doesn't restrict central powers [Russell]
24. Political Theory / D. Ideologies / 2. Anarchism
23163 In an anarchy universities, research, books, and even seaside holidays, would be impossible [Russell]
23168 A state is essential, to control greedy or predatory impulses [Russell]
24. Political Theory / D. Ideologies / 5. Democracy / f. Against democracy
23166 In democracy we are more aware of being governed than of our tiny share in government [Russell]
24. Political Theory / D. Ideologies / 8. Socialism
23162 Managers are just as remote from workers under nationalisation as under capitalism [Russell]
23165 Socialists say economic justice needs some state control of industries, and of foreign trade [Russell]
23160 Being a slave of society is hardly better than being a slave of a despot [Russell]
25. Social Practice / A. Freedoms / 1. Slavery
23158 Slavery began the divorce between the work and the purposes of the worker [Russell]
25. Social Practice / B. Equalities / 1. Grounds of equality
23161 Slaves can be just as equal as free people [Russell]
25. Social Practice / B. Equalities / 4. Economic equality
23159 Scarce goods may be denied entirely, to avoid their unequal distribution [Russell]
25. Social Practice / D. Justice / 1. Basis of justice
23164 Modern justice is seen as equality, apart from modest extra rewards for exceptional desert [Russell]