30 ideas
17884 | Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner] |
17893 | 'Reflection principles' say the whole truth about sets can't be captured [Koellner] |
17894 | We have no argument to show a statement is absolutely undecidable [Koellner] |
17890 | There are at least eleven types of large cardinal, of increasing logical strength [Koellner] |
17887 | PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner] |
17891 | Arithmetical undecidability is always settled at the next stage up [Koellner] |
21515 | Incoherence may be more important for enquiry than coherence [Olsson] |
21514 | Coherence is the capacity to answer objections [Olsson] |
21496 | Mere agreement of testimonies is not enough to make truth very likely [Olsson] |
21499 | Coherence is only needed if the information sources are not fully reliable [Olsson] |
21502 | A purely coherent theory cannot be true of the world without some contact with the world [Olsson] |
21512 | Extending a system makes it less probable, so extending coherence can't make it more probable [Olsson] |
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] |