12 ideas
| 18073 | Dummett says classical logic rests on meaning as truth, while intuitionist logic rests on assertability [Dummett, by Kitcher] |
| Full Idea: Dummett argues that classical logic depends on the choice of the concept of truth as central to the theory of meaning, while for the intuitionist the concept of assertability occupies this position. | |
| From: report of Michael Dummett (The philosophical basis of intuitionist logic [1973]) by Philip Kitcher - The Nature of Mathematical Knowledge 06.5 | |
| A reaction: Since I can assert any nonsense I choose, this presumably means 'warranted' assertability, which is tied to the concept of proof in mathematics. You can reason about falsehoods, or about uninterpreted variables. Can you 'assert' 'Fx'? |
| 19057 | Classical quantification is an infinite conjunction or disjunction - but you may not know all the instances [Dummett] |
| Full Idea: Classical quantification represents an infinite conjunction or disjunction, and the truth-value is determined by the infinite sum or product of the instances ....but this presupposes that all the instances already possess determinate truth-values. | |
| From: Michael Dummett (The philosophical basis of intuitionist logic [1973], p.246) | |
| A reaction: In the case of the universal quantifier, Dummett is doing no more than citing the classic empiricism objection to induction - that you can't make the universal claim if you don't know all the instances. The claim is still meaningful, though. |
| 19055 | Stating a sentence's truth-conditions is just paraphrasing the sentence [Dummett] |
| Full Idea: An ability to state the condition for the truth of a sentence is, in effect, no more than an ability to express the content of the sentence in other words. | |
| From: Michael Dummett (The philosophical basis of intuitionist logic [1973], p.224) | |
| A reaction: Alternatively, if you give something other than a paraphrase of the sentence as its meaning (such as a proof of its truth), then you seem to have departed from your target sentence. Can we reduce and eliminate our sentences in this way? |
| 19056 | If a sentence is effectively undecidable, we can never know its truth conditions [Dummett] |
| Full Idea: If a sentence is effectively undecidable, the condition which must obtain for it to be true is not one which we are capable of recognising whenever it obtains, or of getting ourselves in a position to do so. | |
| From: Michael Dummett (The philosophical basis of intuitionist logic [1973], p.225) | |
| A reaction: The instances of 'undecidable' sentences are most clearly seen in mathematics, such as the Continuum Hypothesis or Goldbach's Conjecture, or anything involving vast infinite cardinals. But do you need precise truth-conditions for meaning? |
| 19054 | Meaning as use puts use beyond criticism, and needs a holistic view of language [Dummett] |
| Full Idea: If use constitutes meaning, it might seem that use is beyond criticism. ....But such an attitude can, ultimately, be supported onlly by the adoption of a holistic view of language. | |
| From: Michael Dummett (The philosophical basis of intuitionist logic [1973], p.218) | |
| A reaction: Dummett goes on to say that the rejection of the holistic view of mathematical meaning leads to his preference for intuitionistic logic. |
| 22594 | In 1794 France all individual and legal rights were suppressed by the general will [Dunt] |
| Full Idea: In the French Revolution the general will replaced democracy, the separation of powers, the rule of law, and individual rights. | |
| From: Ian Dunt (How to be a Liberal [2020], 03) | |
| A reaction: I had some sympathy with the idea of the general will, but Dunt has persuaded me otherwise. It is the embodiment of the democratic problem of the tyranny of the majority. |
| 22602 | Over several centuries a set of eight main liberal values was established [Dunt] |
| Full Idea: Over the centuries liberal values were established: freedom of the individual, reason, consent in government, individual rights, the separation of powers, protection of minorities, autonomy, and moderation. | |
| From: Ian Dunt (How to be a Liberal [2020], 13) | |
| A reaction: What's not to like? 'Moderation' might be a sticking point, for anyone who thinks that very large social changes are needed. |
| 22596 | No government, or the whole nation, can control an individual beyond legitimate scope [Dunt] |
| Full Idea: When a government of any sort puts a threatening hand on that part of individual life beyond its proper scope, …even if it were the whole nation, except for the man it is harassing, it would be no more legitimate for that. | |
| From: Ian Dunt (How to be a Liberal [2020]), quoted by Ian Dunt - How to be a Liberal 4 | |
| A reaction: The obvious question is what counts as 'proper scope' - and who gets to define it? If the individual can define that, then criminals can appeal to this principle. The state must be persuaded of it, then asked to stick to it during conflicts. |
| 22603 | Laissez-faire liberalism failed to give people the protections and freedoms needed for a good life [Dunt] |
| Full Idea: Laissez-faire liberalism failed, because it did not offer people protections and real freedom - against discrimination, insecure work, educational disadvantage, lack of social respect, absence of representation. It was cold, distant, and ineffective. | |
| From: Ian Dunt (How to be a Liberal [2020], 13) | |
| A reaction: A very nice summary, which I take to be correct. |
| 22592 | Nationalism pretends that we can only have a single identity [Dunt] |
| Full Idea: Nationalism pretends that there is only one identity, that we cannot be more than one thing at once. | |
| From: Ian Dunt (How to be a Liberal [2020], Today) | |
| A reaction: Dunt is a defender of liberalism, which assumes a wide degree of pluralism. Could I be a British citizen, but love France more than Britain? I don’t see why not, but it is not an ideal situation. |
| 13304 | Learned men gain more in one day than others do in a lifetime [Posidonius] |
| Full Idea: In a single day there lies open to men of learning more than there ever does to the unenlightened in the longest of lifetimes. | |
| From: Posidonius (fragments/reports [c.95 BCE]), quoted by Seneca the Younger - Letters from a Stoic 078 | |
| A reaction: These remarks endorsing the infinite superiority of the educated to the uneducated seem to have been popular in late antiquity. It tends to be the religions which discourage great learning, especially in their emphasis on a single book. |
| 20820 | Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus] |
| Full Idea: Posidonius defined time thus: it is an interval of motion, or the measure of speed and slowness. | |
| From: report of Posidonius (fragments/reports [c.95 BCE]) by John Stobaeus - Anthology 1.08.42 | |
| A reaction: Hm. Can we define motion or speed without alluding to time? Looks like we have to define them as a conjoined pair, which means we cannot fully understand either of them. |