20 ideas
23367 | Even pointing a finger should only be done for a reason [Epictetus] |
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] |
10058 | No two numbers having the same successor relies on the Axiom of Infinity [Musgrave] |
10062 | Formalism seems to exclude all creative, growing mathematics [Musgrave] |
10063 | Formalism is a bulwark of logical positivism [Musgrave] |
10060 | Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave] |
23814 | Every human yearns for an unattainable transcendent good [Weil] |
23824 | Where human needs are satisfied we find happiness, friendship and beauty [Weil] |
23815 | We cannot equally respect what is unequal, so equal respect needs a shared ground [Weil] |
23823 | Life needs risks to avoid sickly boredom [Weil] |
23822 | We all need to partipate in public tasks, and take some initiative [Weil] |
23817 | We need both equality (to attend to human needs) and hierarchy (as a scale of responsibilities) [Weil] |
23819 | Deliberate public lying should be punished [Weil] |
23818 | We have liberty in the space between nature and accepted authority [Weil] |
23820 | People need personal and collective property, and a social class lacking property is shameful [Weil] |
23821 | Crime should be punished, to bring the perpetrator freely back to morality [Weil] |
23816 | Attention to a transcendent reality motivates a duty to foster the good of humanity [Weil] |