31 ideas
18739 | Three stages of philosophical logic: syntactic (1905-55), possible worlds (1963-85), widening (1990-) [Horsten/Pettigrew] |
18741 | Logical formalization makes concepts precise, and also shows their interrelation [Horsten/Pettigrew] |
18744 | Models are sets with functions and relations, and truth built up from the components [Horsten/Pettigrew] |
8717 | Hilbert wanted to prove the consistency of all of mathematics (which realists take for granted) [Hilbert, by Friend] |
10113 | The grounding of mathematics is 'in the beginning was the sign' [Hilbert] |
10115 | Hilbert substituted a syntactic for a semantic account of consistency [Hilbert, by George/Velleman] |
10116 | Hilbert aimed to prove the consistency of mathematics finitely, to show infinities won't produce contradictions [Hilbert, by George/Velleman] |
18740 | If 'exist' doesn't express a property, we can hardly ask for its essence [Horsten/Pettigrew] |
18745 | A Tarskian model can be seen as a possible state of affairs [Horsten/Pettigrew] |
18747 | The 'spheres model' was added to possible worlds, to cope with counterfactuals [Horsten/Pettigrew] |
18748 | Epistemic logic introduced impossible worlds [Horsten/Pettigrew] |
18746 | Possible worlds models contain sets of possible worlds; this is a large metaphysical commitment [Horsten/Pettigrew] |
18750 | Using possible worlds for knowledge and morality may be a step too far [Horsten/Pettigrew] |
23154 | We divide mankind into friend and foe, and cooperate with one and compete with the other [Russell] |
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] |
23156 | The economic and political advantages of great size seem to have no upper limit [Russell] |
23157 | Government has a negative purpose, to prevent trouble, and a positive aim of realising our desires [Russell] |
23151 | A monarch is known to everyone in the group, and can thus unite large groups [Russell] |
23167 | Power should be with smaller bodies, as long as it doesn't restrict central powers [Russell] |
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] |
23166 | In democracy we are more aware of being governed than of our tiny share in government [Russell] |
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] |
23158 | Slavery began the divorce between the work and the purposes of the worker [Russell] |
23161 | Slaves can be just as equal as free people [Russell] |
23159 | Scarce goods may be denied entirely, to avoid their unequal distribution [Russell] |
23164 | Modern justice is seen as equality, apart from modest extra rewards for exceptional desert [Russell] |