13 ideas
| 18369 | There are at least fourteen candidates for truth-bearers [Kirkham] |
| Full Idea: Among the candidates [for truthbearers] are beliefs, propositions, judgments, assertions, statements, theories, remarks, ideas, acts of thought, utterances, sentence tokens, sentence types, sentences (unspecified), and speech acts. | |
| From: Richard L. Kirkham (Theories of Truth: a Critical Introduction [1992], 2.3) | |
| A reaction: I vote for propositions, but only in the sense of the thoughts underlying language, not the Russellian things which are supposed to exist independently from thinkers. |
| 19318 | A 'sequence' of objects is an order set of them [Kirkham] |
| Full Idea: A 'sequence' of objects is like a set of objects, except that, unlike a set, the order of the objects is important when dealing with sequences. ...An infinite sequence satisfies 'x2 is purple' if and only if the second member of the sequence is purple. | |
| From: Richard L. Kirkham (Theories of Truth: a Critical Introduction [1992], 5.4) | |
| A reaction: This explains why Tarski needed set theory in his metalanguage. |
| 19319 | If one sequence satisfies a sentence, they all do [Kirkham] |
| Full Idea: If one sequence satisfies a sentence, they all do. ...Thus it matters not whether we define truth as satisfaction by some sequence or as satisfaction by all sequences. | |
| From: Richard L. Kirkham (Theories of Truth: a Critical Introduction [1992], 5.4) | |
| A reaction: So if the striker scores a goal, the team has scored a goal. |
| 19320 | If we define truth by listing the satisfactions, the supply of predicates must be finite [Kirkham] |
| Full Idea: Because the definition of satisfaction must have a separate clause for each predicate, Tarski's method only works for languages with a finite number of predicates, ...but natural languages have an infinite number of predicates. | |
| From: Richard L. Kirkham (Theories of Truth: a Critical Introduction [1992], 5.5) | |
| A reaction: He suggest predicates containing natural numbers, as examples of infinite predicates. Davidson tried to extend the theory to natural languages, by (I think) applying it to adverbs, which could generate the infinite predicates. Maths has finite predicates. |
| 19315 | In quantified language the components of complex sentences may not be sentences [Kirkham] |
| Full Idea: In a quantified language it is possible to build new sentences by combining two expressions neither of which is itself a sentence. | |
| From: Richard L. Kirkham (Theories of Truth: a Critical Introduction [1992], 5.4) | |
| A reaction: In propositional logic the components are other sentences, so the truth value can be given by their separate truth-values, through truth tables. Kirkham is explaining the task which Tarski faced. Truth-values are not just compositional. |
| 19317 | An open sentence is satisfied if the object possess that property [Kirkham] |
| Full Idea: An object satisfies an open sentence if and only if it possesses the property expressed by the predicate of the open sentence. | |
| From: Richard L. Kirkham (Theories of Truth: a Critical Introduction [1992], 5.4) | |
| A reaction: This applies to atomic sentence, of the form Fx or Fa (that is, some variable is F, or some object is F). So strictly, only the world can decide whether some open sentence is satisfied. And it all depends on things called 'properties'. |
| 19322 | Why can there not be disjunctive, conditional and negative facts? [Kirkham] |
| Full Idea: It has been said that there are no disjunctive facts, conditional facts, or negative facts. ...but it is not at all clear why there cannot be facts of this sort. | |
| From: Richard L. Kirkham (Theories of Truth: a Critical Introduction [1992], 5.6) | |
| A reaction: I love these sorts of facts, and offer them as a naturalistic basis for logic. You probably need the world to have modal features, but I have those in the form of powers and dispositions. |
| 7401 | Heat and colour don't exist, so cannot mislead about the external world [Galileo, by Tuck] |
| Full Idea: Galileo argued that there is no such thing as heat (and hence also as colour) in the external world, so there is no reason to conclude from colour-blindness that we cannot know the truth about the world. | |
| From: report of Galileo Galilei (Il Saggiatore ('The Assayer') [1623]) by Richard Tuck - Hobbes Ch.1 | |
| A reaction: This key idea, taken up by Gassendi, Descartes and Locke, seems to me to be one of the most important (and, in retrospect, rather obvious) facts ever worked out by the human mind. Why does anyone still doubt it? |
| 5454 | Tastes, odours and colours only reside in consciousness, and would disappear with creatures [Galileo] |
| Full Idea: I think tastes, odours, colours, and so on are mere names as far as the objects are concerned, and only reside in consciousness. Hence if the living creature were removed, all these qualities would be wiped away and annihilated. | |
| From: Galileo Galilei (Il Saggiatore ('The Assayer') [1623]), quoted by Brian Ellis - The Philosophy of Nature: new essentialism Ch.3 | |
| A reaction: A nice bold assertion of the primary/secondary distinction from the first great scientist. I agree, and to disagree (and hence side with Berkeley and Hume) is to head for metaphsical and epistemological confusion. |
| 16560 | Galileo introduced geometrico-mechanical explanation, based on Archimedes [Galileo, by Machamer/Darden/Craver] |
| Full Idea: The modern idea of explaining with mechanisms became current in the 17th century when Galileo articulated a geometrico-mechanical form of explanation based on Archimedes' simple machines. This became the 'mechanical philosophy'. | |
| From: report of Galileo Galilei (Il Saggiatore ('The Assayer') [1623]) by Machamer,P/Darden,L/Craver,C - Thinking About Mechanisms 5.2 | |
| A reaction: So is Archimedes the source? I would say that mechanical explanation is just commonsense, and is predominant in all human thinking, even in tiny infants. |
| 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. |
| 3645 | To understand the universe mathematics is essential [Galileo] |
| Full Idea: The great book of the universe cannot be understood unless one can understand the language in which it is written - the language of mathematics. | |
| From: Galileo Galilei (Il Saggiatore ('The Assayer') [1623], VI.232) | |
| A reaction: Nice, though one might say that humans created the language of maths to help them discuss the patterns they perceived in nature. Maybe what is special is order, and all order can be described mathematically. |
| 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. |