11 ideas
18946 | Unreflectively, we all assume there are nonexistents, and we can refer to them [Reimer] |
Full Idea: As speakers of the language, we unreflectively assume that there are nonexistents, and that reference to them is possible. | |
From: Marga Reimer (The Problem of Empty Names [2001], p.499), quoted by Sarah Sawyer - Empty Names 4 | |
A reaction: Sarah Swoyer quotes this as a good solution to the problem of empty names, and I like it. It introduces a two-tier picture of our understanding of the world, as 'unreflective' and 'reflective', but that seems good. We accept numbers 'unreflectively'. |
14775 | Numbers are just names devised for counting [Peirce] |
Full Idea: Numbers are merely a system of names devised by men for the purpose of counting. | |
From: Charles Sanders Peirce (Scientific Attitude and Fallibilism [1899], II) | |
A reaction: This seems a perfectly plausible view prior to the advent of Cantor, set theory and modern mathematical logic. I suppose the modern reply to this is that Peirce may be right about origin, but that men thereby stumbled on an Aladdin's Cave of riches. |
14776 | That two two-eyed people must have four eyes is a statement about numbers, not a fact [Peirce] |
Full Idea: To say that 'if' there are two persons and each person has two eyes there 'will be' four eyes is not a statement of fact, but a statement about the system of numbers which is our own creation. | |
From: Charles Sanders Peirce (Scientific Attitude and Fallibilism [1899], II) | |
A reaction: One eye for each arm of the people is certainly a fact. Frege uses this equivalence to build numbers. I think Peirce is wrong. If it is not a fact that these people have four eyes, I don't know what 'four' means. It's being two pairs is also a fact. |
14770 | Reasoning is based on statistical induction, so it can't achieve certainty or precision [Peirce] |
Full Idea: All positive reasoning is judging the proportion of something in a whole collection by the proportion found in a sample. Hence we can never hope to attain absolute certainty, absolute exactitude, absolute universality. | |
From: Charles Sanders Peirce (Scientific Attitude and Fallibilism [1899], II) | |
A reaction: This is the basis of Peirce's fallibilism - that all 'positive' reasoning (whatever that it?) is based on statistical induction. I'm all in favour of fallibilism, but find Peirce's claim to be a bit too narrow. He was too mesmerised by physical science. |
14774 | Innate truths are very uncertain and full of error, so they certainly have exceptions [Peirce] |
Full Idea: It seems to me there is the most historic proof that innate truths are particularly uncertain and mixed up with error, and therefore a fortiori not without exception. | |
From: Charles Sanders Peirce (Scientific Attitude and Fallibilism [1899], II) |
14772 | If we decide an idea is inspired, we still can't be sure we have got the idea right [Peirce] |
Full Idea: Even if we decide that an idea really is inspired, we cannot be sure, or nearly sure, that the statement is true. We know one of the commandments of the Bible was printed without a 'not' in it. | |
From: Charles Sanders Peirce (Scientific Attitude and Fallibilism [1899], II) |
14773 | A truth is hard for us to understand if it rests on nothing but inspiration [Peirce] |
Full Idea: A truth which rests on the authority of inspiration only is of a somewhat incomprehensible nature; and we can never be sure that we rightly comprehend it. | |
From: Charles Sanders Peirce (Scientific Attitude and Fallibilism [1899], II) |
14771 | Only reason can establish whether some deliverance of revelation really is inspired [Peirce] |
Full Idea: We never can be absolutely certain that any given deliverance [of revelation] really is inspired; for that can only be established by reasoning. | |
From: Charles Sanders Peirce (Scientific Attitude and Fallibilism [1899], II) |
14769 | Only imagination can connect phenomena together in a rational way [Peirce] |
Full Idea: We can stare stupidly at phenomena; but in the absence of imagination they will not connect themselves together in any rational way. | |
From: Charles Sanders Peirce (Scientific Attitude and Fallibilism [1899], I) | |
A reaction: The importance of this is its connection between imagination and 'rational' understanding. This is an important corrective to a crude traditional picture of the role of imagination. I would connect imagination with counterfactuals and best explanation. |
14894 | Indexicals have a 'character' (the standing meaning), and a 'content' (truth-conditions for one context) [Kaplan, by Macià/Garcia-Carpentiro] |
Full Idea: Kaplan distinguished two different semantic features of indexical expressions: a 'character' that captures the standing meaning of the expression, and a 'content' that consists of their truth-conditional contribution in particular contexts. | |
From: report of David Kaplan (Demonstratives [1989]) by Macià/Garcia-Carpentiro - Introduction to 'Two-Dimensional Semantics' 1 | |
A reaction: This seems so clearly right that there isn't much to dispute. You can't understand the word 'I' or 'now' if you don't understand both its general purpose, and what it is doing in a particular utterance. But will this generalise to other semantics? |
14700 | 'Content' gives the standard modal profile, and 'character' gives rules for a context [Kaplan, by Schroeter] |
Full Idea: Kaplan sees two aspects of meaning, the 'content', reflecting a thing's modal profile, which is modelled by standard possible worlds semantics, and 'character', giving rules for different contexts. Proper names have constant character; indexicals vary. | |
From: report of David Kaplan (Demonstratives [1989]) by Laura Schroeter - Two-Dimensional Semantics 1.1.1 | |
A reaction: This gives rise to 2-D matrices for representing meaning, and the possible worlds are used twice, for evaluating meaning and then for evaluating context of use. I've always been struck by the two-dimensional semantics of passwords. |