21 ideas
18915 | If facts are the truthmakers, they are not in the world [Engelbretsen] |
Full Idea: If there are such things as truthmakers (facts), they are not to be found in the world. As Strawson would say to Austin: there is the cat, there is the mat, but where in the world is the fact that the cat is on the mat? | |
From: George Engelbretsen (Trees, Terms and Truth [2005], 4) | |
A reaction: He cites Strawson, Quine and Davidson for this point. |
18919 | There are no 'falsifying' facts, only an absence of truthmakers [Engelbretsen] |
Full Idea: A false proposition is not made false by anything like a 'falsifying' fact. A false proposition simply fails to be made true by any fact. | |
From: George Engelbretsen (Trees, Terms and Truth [2005], 4) | |
A reaction: Sounds good. In truthmaker theory, one truth-value (T) is 'made', but the other one is not, so there is no symmetry between the two. Better to talk of T and not-T? See ideas on Excluded Middle. |
18913 | Traditional term logic struggled to express relations [Engelbretsen] |
Full Idea: The greatest challenge for traditional term logicians was the proper formulation and treatment of relational expressions. | |
From: George Engelbretsen (Trees, Terms and Truth [2005]) | |
A reaction: The modern term logic of Fred Sommers claims to have solved this problem. |
18907 | Term logic rests on negated terms or denial, and that propositions are tied pairs [Engelbretsen] |
Full Idea: That terms can be negated, that such negation is distinguishable from denial, and that propositions can be construed syntactically as predicationally tied pairs of terms, are important for the tree theory of predication, and for term logic. | |
From: George Engelbretsen (Trees, Terms and Truth [2005], 2) |
18912 | Was logic a branch of mathematics, or mathematics a branch of logic? [Engelbretsen] |
Full Idea: Nineteenth century logicians debated whether logic should be treated simply as a branch of mathematics, and mathematics could be applied to it, or whether mathematics is a branch of logic, with no mathematics used in formulating logic. | |
From: George Engelbretsen (Trees, Terms and Truth [2005], 3) | |
A reaction: He cites Boole, De Morgan and Peirce for the first view, and Frege and Russell (and their 'logicism') for the second. The logic for mathematics slowly emerged from doing it, long before it was formalised. Mathematics is the boss? |
18905 | Propositions can be analysed as pairs of terms glued together by predication [Engelbretsen] |
Full Idea: Sommers's 'tree theory' of predication assumes that propositions can be analysed as pairs of terms joined by some kind of predicational glue. | |
From: George Engelbretsen (Trees, Terms and Truth [2005], 2) | |
A reaction: This is the basis of Sommers's upgraded Aristotelian logic, known as Term Logic. The idea of reasoning with 'terms', rather than with objects, predicates and quantifiers, seems to me very appealing. I think I reason more about facts than about objects. |
18922 | Logical syntax is actually close to surface linguistic form [Engelbretsen] |
Full Idea: The underlying logical syntax of language is close to the surface syntax of ordinary language. | |
From: George Engelbretsen (Trees, Terms and Truth [2005], 5) | |
A reaction: This is the boast of the Term logicians, in opposition to the strained and unnatural logical forms of predicate logic, which therefore don't give a good account of the way ordinary speakers reason. An attractive programme. 'Terms' are the key. |
18908 | Standard logic only negates sentences, even via negated general terms or predicates [Engelbretsen] |
Full Idea: Standard logic recognises only one kind of negation: sentential negation. Consequently, negation of a general term/predicate always amounts to negation of the entire sentence. | |
From: George Engelbretsen (Trees, Terms and Truth [2005], 3) |
18917 | Existence and nonexistence are characteristics of the world, not of objects [Engelbretsen] |
Full Idea: Existence and nonexistence are not primarily properties of individual objects (dogs, unicorns), but of totalities. To say that some object exists is just to say that it is a constituent of the world, which is a characteristic of the world, not the object. | |
From: George Engelbretsen (Trees, Terms and Truth [2005], 4) | |
A reaction: This has important implications for the problem of truthmakers for negative existential statements (like 'there are no unicorns'). It is obviously a relative of Armstrong's totality facts that do the job. Not sure about 'a characteristic of'. |
18916 | Facts are not in the world - they are properties of the world [Engelbretsen] |
Full Idea: Facts must be viewed as properties of the world - not as things in the world. | |
From: George Engelbretsen (Trees, Terms and Truth [2005], 4) | |
A reaction: Not sure I'm happy with either of these. Do animals grasp facts? If not, are they (as Strawson said) just the truths expressed by true sentences? That is not a clear idea either, given that facts are not the sentences themselves. Facts overlap. |
18921 | Individuals are arranged in inclusion categories that match our semantics [Engelbretsen] |
Full Idea: The natural categories of individuals are arranged in a hierarchy of inclusion relations that is isomorphic with the linguistic semantic structure. | |
From: George Engelbretsen (Trees, Terms and Truth [2005], 5) | |
A reaction: This is the conclusion of a summary of modern Term Logic. The claim is that Sommers discerned this structure in our semantics (via the study of 'terms'), and was pleasantly surprised to find that it matched a plausible structure of natural categories. |
18918 | Terms denote objects with properties, and statements denote the world with that property [Engelbretsen] |
Full Idea: In term logic, what a term denotes are the objects having the property it signifies. What a statement denotes is the world, that which has the constitutive property it signifies. | |
From: George Engelbretsen (Trees, Terms and Truth [2005], 4) |
18920 | 'Socrates is wise' denotes a sentence; 'that Socrates is wise' denotes a proposition [Engelbretsen] |
Full Idea: Whereas 'Socrates is wise' denotes a sentence, 'that Socrates is wise' denotes a proposition. | |
From: George Engelbretsen (Trees, Terms and Truth [2005], 4) | |
A reaction: In traditional parlance, 'reported speech' refers to the underlying proposition, because it does not commit to the actual words being used. As a lover of propositions (as mental events, not mysterious abstract objects), I like this. |
18906 | Negating a predicate term and denying its unnegated version are quite different [Engelbretsen] |
Full Idea: There is a crucial distinction in term logic between affirming a negated predicate term of some subject and denying the unnegated version of that term of that same subject. We must distinguish 'X is non-P' from 'X is not P'. | |
From: George Engelbretsen (Trees, Terms and Truth [2005], 2) | |
A reaction: The first one affirms something about X, but the second one just blocks off a possible description of X. 'X is non-harmful' and 'X is not harmful' - if X had ceased to exist, the second would be appropriate and the first wouldn't? I'm guessing. |
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. |
6613 | The natural kinds are objects, processes and properties/relations [Ellis] |
Full Idea: There are three hierarchies of natural kinds: objects or substances (substantive universals), events or processes (dynamic universals), and properties or relations (tropic universals). | |
From: Brian Ellis (Katzav on limitations of dispositions [2005], 91) | |
A reaction: Most interesting here is the identifying of natural kinds with universals, making universals into the families of nature. Universals are high-level sets of natural kinds. To grasp universals you must see patterns, and infer the underlying order. |
6616 | Least action is not a causal law, but a 'global law', describing a global essence [Ellis] |
Full Idea: The principle of least action is not a causal law, but is what I call a 'global law', which describes the essence of the global kind, which every object in the universe necessarily instantiates. | |
From: Brian Ellis (Katzav on limitations of dispositions [2005]) | |
A reaction: As a fan of essentialism I find this persuasive. If I inherit part of my essence from being a mammal, I inherit other parts of my essence from being an object, and all objects would share that essence, so it would look like a 'law' for all objects. |
6615 | A species requires a genus, and its essence includes the essence of the genus [Ellis] |
Full Idea: A specific universal can exist only if the generic universal of which it is a species exists, but generic universals don't depend on species; …the essence of any genus is included in its species, but not conversely. | |
From: Brian Ellis (Katzav on limitations of dispositions [2005], 91) | |
A reaction: Thus the species 'electron' would be part of the genus 'lepton', or 'human' part of 'mammal'. The point of all this is to show how individual items connect up with the rest of the universe, giving rise to universal laws, such as Least Action. |
6614 | A hierarchy of natural kinds is elaborate ontology, but needed to explain natural laws [Ellis] |
Full Idea: The hierarchy of natural kinds proposed by essentialism may be more elaborate than is strictly required for purposes of ontology, but it is necessary to explain the necessity of the laws of nature, and the universal applicability of global principles. | |
From: Brian Ellis (Katzav on limitations of dispositions [2005], 91) | |
A reaction: I am all in favour of elaborating ontology in the name of best explanation. There seem, though, to be some remaining ontological questions at the point where the explanations of essentialism run out. |
6612 | Without general principles, we couldn't predict the behaviour of dispositional properties [Ellis] |
Full Idea: It is objected to dispositionalism that without the principle of least action, or some general principle of equal power, the specific dispositional properties of things could tell us very little about how these things would be disposed to behave. | |
From: Brian Ellis (Katzav on limitations of dispositions [2005], 90) | |
A reaction: Ellis attempts to meet this criticism, by placing dispositional properties within a hierarchy of broader properties. There remains a nagging doubt about how essentialism can account for space, time, order, and the existence of essences. |
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. |