19 ideas
| 17641 | Discoveries in mathematics can challenge philosophy, and offer it a new foundation [Russell] |
| Full Idea: Any new discovery as to mathematical method and principles is likely to upset a great deal of otherwise plausible philosophising, as well as to suggest a new philosophy which will be solid in proportion as its foundations in mathematics are securely laid. | |
| From: Bertrand Russell (Regressive Method for Premises in Mathematics [1907], p.283) | |
| A reaction: This is a manifesto for modern analytic philosophy. I'm not convinced, especially if a fictionalist view of maths is plausible. What Russell wants is rigour, but there are other ways of getting that. Currently I favour artificial intelligence. |
| 17638 | If one proposition is deduced from another, they are more certain together than alone [Russell] |
| Full Idea: Two obvious propositions of which one can be deduced from the other both become more certain than either in isolation; thus in a complicated deductive system, many parts of which are obvious, the total probability may become all but absolute certainty. | |
| From: Bertrand Russell (Regressive Method for Premises in Mathematics [1907], p.279) | |
| A reaction: Thagard picked this remark out, in support of his work on coherence. |
| 21945 | Foucault originally felt that liberating reason had become an instrument of domination [Foucault, by Gutting] |
| Full Idea: In early work Foucault writes in opposition to the Enlightenment. ..The reason that was supposed to liberate us has itself become the primary instrument of our domination. ..His heroisation of the mad aims to set up an alternative to the regime of reason. | |
| From: report of Michel Foucault (works [1978]) by Gary Gutting - Foucault: a very short introduction 7 | |
| A reaction: Adorno and Horkheimer are cited as background. I hear Spinoza turning in his grave, because right reason could never be an instrument of domination. |
| 17632 | Non-contradiction was learned from instances, and then found to be indubitable [Russell] |
| Full Idea: The law of contradiction must have been originally discovered by generalising from instances, though, once discovered, it was found to be quite as indubitable as the instances. | |
| From: Bertrand Russell (Regressive Method for Premises in Mathematics [1907], p.274) |
| 17629 | Which premises are ultimate varies with context [Russell] |
| Full Idea: Premises which are ultimate in one investigation may cease to be so in another. | |
| From: Bertrand Russell (Regressive Method for Premises in Mathematics [1907], p.273) |
| 17630 | The sources of a proof are the reasons why we believe its conclusion [Russell] |
| Full Idea: In mathematics, except in the earliest parts, the propositions from which a given proposition is deduced generally give the reason why we believe the given proposition. | |
| From: Bertrand Russell (Regressive Method for Premises in Mathematics [1907], p.273) |
| 17640 | Finding the axioms may be the only route to some new results [Russell] |
| Full Idea: The premises [of a science] ...are pretty certain to lead to a number of new results which could not otherwise have been known. | |
| From: Bertrand Russell (Regressive Method for Premises in Mathematics [1907], p.282) | |
| A reaction: I identify this as the 'fruitfulness' that results when the essence of something is discovered. |
| 17627 | It seems absurd to prove 2+2=4, where the conclusion is more certain than premises [Russell] |
| Full Idea: It is an apparent absurdity in proceeding ...through many rather recondite propositions of symbolic logic, to the 'proof' of such truisms as 2+2=4: for it is plain that the conclusion is more certain than the premises, and the supposed proof seems futile. | |
| From: Bertrand Russell (Regressive Method for Premises in Mathematics [1907], p.272) | |
| A reaction: Famously, 'Principia Mathematica' proved this fact at enormous length. I wonder if this thought led Moore to his common sense view of his own hand - the conclusion being better than the sceptical arguments? |
| 17628 | Arithmetic was probably inferred from relationships between physical objects [Russell] |
| Full Idea: When 2 + 2 =4 was first discovered, it was probably inferred from the case of sheep and other concrete cases. | |
| From: Bertrand Russell (Regressive Method for Premises in Mathematics [1907], p.272) |
| 17637 | The most obvious beliefs are not infallible, as other obvious beliefs may conflict [Russell] |
| Full Idea: Even where there is the highest degree of obviousness, we cannot assume that we are infallible - a sufficient conflict with other obvious propositions may lead us to abandon our belief, as in the case of a hallucination afterwards recognised as such. | |
| From: Bertrand Russell (Regressive Method for Premises in Mathematics [1907], p.279) | |
| A reaction: This approach to fallibilism seems to arise from the paradox that undermined Frege's rather obvious looking axioms. After Peirce and Russell, fallibilism has become a secure norm of modern thought. |
| 17639 | Believing a whole science is more than believing each of its propositions [Russell] |
| Full Idea: Although intrinsic obviousness is the basis of every science, it is never, in a fairly advanced science, the whole of our reason for believing any one proposition of the science. | |
| From: Bertrand Russell (Regressive Method for Premises in Mathematics [1907], p.279) |
| 21942 | Foucault challenges knowledge in psychology and sociology, not in the basic sciences [Foucault, by Gutting] |
| Full Idea: Foucault's project is to question quite specific claims to cognitive authority, made by many psychologists and social scientists. He has not problems with other domains, such as mathematics and the basic sciences. | |
| From: report of Michel Foucault (works [1978]) by Gary Gutting - Foucault: a very short introduction 5 | |
| A reaction: Nowadays we describe his target as Epistemic Injustice (see book of that title by Miranda Fricker). |
| 17631 | Induction is inferring premises from consequences [Russell] |
| Full Idea: The inferring of premises from consequences is the essence of induction. | |
| From: Bertrand Russell (Regressive Method for Premises in Mathematics [1907], p.274) | |
| A reaction: So induction is just deduction in reverse? Induction is transcendental deduction? Do I deduce the premises from observing a lot of white swans? Hm. |
| 21941 | Unlike Marxists, Foucault explains thought internally, without deference to conscious ideas [Foucault, by Gutting] |
| Full Idea: Unlike Marxists, Foucault's project is to offer an internal account of human thinking, without assuming a privileged status for the conscious content of that thought. | |
| From: report of Michel Foucault (works [1978]) by Gary Gutting - Foucault: a very short introduction 4 | |
| A reaction: His project is historical. Personally I resent anyone who claims to understand my thought better than I do. I suppose my intellectual duty is to read Foucault, and see (honestly) whether his project applies to me. |
| 21939 | The author function of any text is a plurality of selves [Foucault, by Gutting] |
| Full Idea: Foucault maintains that for any 'authored' text a plurality of selves fulfils the author function. | |
| From: report of Michel Foucault (works [1978]) by Gary Gutting - Foucault: a very short introduction 2 | |
| A reaction: This is a completely different concept of a 'self' from the one normally found in this database. I would call it the sociological concept of self, as something changing with context. So how many selves is 'Jane Austen'? |
| 7903 | The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna] |
| Full Idea: The six perfections are of giving, morality, patience, vigour, meditation, and wisdom. | |
| From: Nagarjuna (Mahaprajnaparamitashastra [c.120], 88) | |
| A reaction: What is 'morality', if giving is not part of it? I like patience and vigour being two of the virtues, which immediately implies an Aristotelian mean (which is always what is 'appropriate'). |
| 21940 | Nature is not the basis of rights, but the willingness to risk death in asserting them [Foucault] |
| Full Idea: The decision 'to prefer the risk of death to the certainty of having to obey' is the 'last anchor point' for any assertion of rights, 'one more solid and closer to the experience than "natural rights"'. | |
| From: Michel Foucault (works [1978], EW III:449) | |
| A reaction: I recall a group of Afrikaan men going to face certain death, rather than give up apartheid. |
| 21116 | Power is used to create identities and ways of life for other people [Foucault, by Shorten] |
| Full Idea: For Foucault power is less about repressing people or issuing commands, and more about producing identities and ways of living. | |
| From: report of Michel Foucault (works [1978]) by Andrew Shorten - Contemporary Political Theory 01 | |
| A reaction: I take this to be the culmination of the Hegelian view of a person, as largely created by social circumstances rather than by biology. I'm beginning to think that Foucault may be a very important philosopher - although elusive. |
| 17633 | The law of gravity has many consequences beyond its grounding observations [Russell] |
| Full Idea: The law of gravitation leads to many consequences which could not be discovered merely from the apparent motions of the heavenly bodies. | |
| From: Bertrand Russell (Regressive Method for Premises in Mathematics [1907], p.275) |