27 ideas
6848 | Humour is practically enacted philosophy [Critchley] |
6847 | Humour can give a phenomenological account of existence, and point to change [Critchley] |
6844 | Scientism is the view that everything can be explained causally through scientific method [Critchley] |
6835 | German idealism aimed to find a unifying principle for Kant's various dualisms [Critchley] |
6837 | Since Hegel, continental philosophy has been linked with social and historical enquiry. [Critchley] |
6836 | Continental philosophy fights the threatened nihilism in the critique of reason [Critchley] |
6838 | Continental philosophy is based on critique, praxis and emancipation [Critchley] |
6845 | Continental philosophy has a bad tendency to offer 'one big thing' to explain everything [Critchley] |
6846 | Phenomenology is a technique of redescription which clarifies our social world [Critchley] |
8729 | Intuitionists deny excluded middle, because it is committed to transcendent truth or objects [Shapiro] |
8763 | The number 3 is presumably identical as a natural, an integer, a rational, a real, and complex [Shapiro] |
18249 | Cauchy gave a formal definition of a converging sequence. [Shapiro] |
8764 | Categories are the best foundation for mathematics [Shapiro] |
8762 | Two definitions of 3 in terms of sets disagree over whether 1 is a member of 3 [Shapiro] |
8760 | Numbers do not exist independently; the essence of a number is its relations to other numbers [Shapiro] |
8761 | A 'system' is related objects; a 'pattern' or 'structure' abstracts the pure relations from them [Shapiro] |
8744 | Logicism seems to be a non-starter if (as is widely held) logic has no ontology of its own [Shapiro] |
8749 | Term Formalism says mathematics is just about symbols - but real numbers have no names [Shapiro] |
8750 | Game Formalism is just a matter of rules, like chess - but then why is it useful in science? [Shapiro] |
8752 | Deductivism says mathematics is logical consequences of uninterpreted axioms [Shapiro] |
8753 | Critics resent the way intuitionism cripples mathematics, but it allows new important distinctions [Shapiro] |
8731 | Conceptualist are just realists or idealist or nominalists, depending on their view of concepts [Shapiro] |
8730 | 'Impredicative' definitions refer to the thing being described [Shapiro] |
8725 | Rationalism tries to apply mathematical methodology to all of knowledge [Shapiro] |
18883 | Any equivalence relation among similar things allows the creation of an abstractum [Simons] |
18884 | Abstraction is usually seen as producing universals and numbers, but it can do more [Simons] |
6843 | Perceiving meaninglessness is an achievement, which can transform daily life [Critchley] |