11 ideas
| 3745 | Must sentences make statements to qualify for truth? [O'Connor] |
| Full Idea: Maybe a sentence is not a candidate for truth until it is used to make a statement. | |
| From: D.J. O'Connor (The Correspondence Theory of Truth [1975], Ch.6) |
| 3742 | Beliefs must match facts, but also words must match beliefs [O'Connor] |
| Full Idea: Our beliefs must claim a correspondence with facts, and then the verbal expression of the belief must correspond to the belief itself. | |
| From: D.J. O'Connor (The Correspondence Theory of Truth [1975], Ch.4) |
| 3744 | The semantic theory requires sentences as truth-bearers, not propositions [O'Connor] |
| Full Idea: The Semantic Theory of truth requires that sentences are truth-bearers (rather than statements, or propositions). | |
| From: D.J. O'Connor (The Correspondence Theory of Truth [1975], Ch.6) |
| 3749 | What does 'true in English' mean? [O'Connor] |
| Full Idea: We do not seem to have any use in ordinary discourse for phrases like 'true in English', 'false in German'. | |
| From: D.J. O'Connor (The Correspondence Theory of Truth [1975], II.1) |
| 3746 | Logic seems to work for unasserted sentences [O'Connor] |
| Full Idea: If sentences can have truth-values only when they occur as asserted, it would be impossible to have a truth-functional basis to logic. | |
| From: D.J. O'Connor (The Correspondence Theory of Truth [1975], Ch.6) |
| 15938 | Platonists ruin infinity, which is precisely a growing structure which is never completed [Dummett] |
| Full Idea: The platonist destroys the whole essence of infinity, which lies in the conception of a structure which is always in growth, precisely because the process of construction is never completed. | |
| From: Michael Dummett (Elements of Intuitionism [1977], p.57), quoted by Thomas J. McKay - Plural Predication | |
| A reaction: I don't warm to intuitionism, but I warm to this conception of infinity. Completed infinities are convenient reifications for mathematicians. |
| 15939 | For intuitionists it is constructed proofs (which take time) which make statements true [Dummett] |
| Full Idea: For an intuitionist a mathematical statement is rendered true or false by a proof or disproof, that is, by a construction, and constructions are effected in time. | |
| From: Michael Dummett (Elements of Intuitionism [1977], p.336), quoted by Shaughan Lavine - Understanding the Infinite VI.2 | |
| A reaction: Lavine is quoting this to draw attention to the difficulties of thinking of it as all taking place 'in time', especially when dealing with infinities. |
| 3747 | Events are fast changes which are of interest to us [O'Connor] |
| Full Idea: The standard cases of events are physical changes which happen sufficiently fast to be observed as changes, and which are of sufficient interest to us to be noticed or commented on. | |
| From: D.J. O'Connor (The Correspondence Theory of Truth [1975], Ch.7) |
| 3743 | We can't contemplate our beliefs until we have expressed them [O'Connor] |
| Full Idea: It is only when beliefs are given some symbolic expression that they acquire the precision and stability that enables us to entertain them. | |
| From: D.J. O'Connor (The Correspondence Theory of Truth [1975], Ch.5) |
| 3748 | Without language our beliefs are particular and present [O'Connor] |
| Full Idea: Without language we would be restricted to particular beliefs about the here and now. | |
| From: D.J. O'Connor (The Correspondence Theory of Truth [1975], Ch.8) |
| 7413 | Without confidence in our beliefs, how should we actually live? [Tuck] |
| Full Idea: The central question for sceptics is if we lose confidence in the truth of most existing beliefs, then how do we actually live? | |
| From: Richard Tuck (Hobbes [1989], Ch.4) | |
| A reaction: Scepticism is not, of course, all or nothing. You can lead a 'normal' life in a virtual reality machine. I find it much more of a struggle to live if I lose faith in values, than if I lose faith in tables. |