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. |
| 7920 | Descriptive metaphysics aims at actual structure, revisionary metaphysics at a better structure [Strawson,P] |
| Full Idea: Descriptive metaphysics (e.g. Aristotle and Kant) is content to describe the actual structure of our thought about the world; revisionary metaphysics (e.g. Descartes, Leibniz, Berkeley) is concerned to produce a better structure. | |
| From: Peter F. Strawson (Individuals:Essay in Descript Metaphysics [1959], Intro) | |
| A reaction: This distinction by Strawson was incredibly helpful in reinstating metaphysics as a feasible activity. I don't want to abandon the revisionary version. We can hammer the current metaphysics into a more efficient shape, or even create new concepts. |
| 7922 | Descriptive metaphysics concerns unchanging core concepts and categories [Strawson,P] |
| Full Idea: Descriptive metaphysics is primarily concerned with categories and concepts which, in their fundamental character, change not at all. They are the commonplaces of the least refined thinking, and the indispensable core for the most sophisticated humans. | |
| From: Peter F. Strawson (Individuals:Essay in Descript Metaphysics [1959], Intro) | |
| A reaction: This seems to be the basic premise for a modern metaphysician such as E.J.Lowe, though such thinkers are not averse to suggesting clarifications of our conceptual scheme. The aim must be good foundations for a successful edifice of knowledge. |
| 7921 | Close examination of actual word usage is the only sure way in philosophy [Strawson,P] |
| Full Idea: Up to a point, the reliance upon a close examination of the actual use of words is the best, and indeed the only sure, way in philosophy. | |
| From: Peter F. Strawson (Individuals:Essay in Descript Metaphysics [1959], Intro) | |
| A reaction: Probably the last bold assertion of ordinary language philosophy, though Strawson goes on the defend his 'deeper' version of the activity, which he says is 'descriptive metaphysics', rather than mere 'analysis'. Mere verbal analysis now looks hopeless. |
| 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. |
| 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) |
| 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. |
| 9282 | I can only apply consciousness predicates to myself if I can apply them to others [Strawson,P] |
| Full Idea: One can ascribed states of consciousness to oneself only if one can ascribe them to others. One can ascribe them to others only if one can identify other subjects of experience, and they cannot be identified only as subjects of experience. | |
| From: Peter F. Strawson (Individuals:Essay in Descript Metaphysics [1959], 3.4) | |
| A reaction: A neat linguistic twist on the analogy argument, but rather dubious, if it is actually meant to prove that other minds exist. It is based on his view of predicates - see Idea 9281. If the rest of humanity are zombies, why would I not apply them? |
| 9263 | A person is an entity to which we can ascribe predicates of consciousness and corporeality [Strawson,P] |
| Full Idea: What I mean by the concept of a person is the concept of a type of entity such that both predicates ascribing states of consciousness and predicates ascribing corporeal characteristics are equally applicable to a single individual of that single type. | |
| From: Peter F. Strawson (Individuals:Essay in Descript Metaphysics [1959], 3.4) | |
| A reaction: As Frankfurt points out, merely requiring the entity to be 'conscious' is a grossly inadequate definition of what we mean by a person, which is typically a being that is self-aware and capable of rational decisions between alternatives. |
| 9281 | The idea of a predicate matches a range of things to which it can be applied [Strawson,P] |
| Full Idea: The idea of a predicate is correlative with a range of distinguishable individuals of which the predicate can be significantly, though not necessarily truly, affirmed. | |
| From: Peter F. Strawson (Individuals:Essay in Descript Metaphysics [1959], 3.4 n1) | |
| A reaction: Said to be one of Strawson's most important ideas. The idea is that you understand a predicate if you understand its range, not just a one-off application. So you must understand the implied universal, whatever that is. |
| 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'). |
| 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) |