23 ideas
| 11223 | Definitions usually have a term, a 'definiendum' containing the term, and a defining 'definiens' [Gupta] |
| Full Idea: Many definitions have three elements: the term that is defined, an expression containing the defined term (the 'definiendum'), and another expression (the 'definiens') that is equated by the definition with this expression. | |
| From: Anil Gupta (Definitions [2008], 2) | |
| A reaction: He notes that the definiendum and the definiens are assumed to be in the 'same logical category', which is a right can of worms. |
| 11215 | Notable definitions have been of piety (Plato), God (Anselm), number (Frege), and truth (Tarski) [Gupta] |
| Full Idea: Notable examples of definitions in philosophy have been Plato's (e.g. of piety, in 'Euthyphro'), Anselm's definition of God, the Frege-Russell definition of number, and Tarski's definition of truth. | |
| From: Anil Gupta (Definitions [2008], Intro) | |
| A reaction: All of these are notable for the extensive metaphysical conclusions which then flow from what seems like a fairly neutral definition. We would expect that if we were defining essences, but not if we were just defining word usage. |
| 11225 | A definition needs to apply to the same object across possible worlds [Gupta] |
| Full Idea: In a modal logic in which names are non-vacuous and rigid, not only must existence and uniqueness in a definition be shown to hold necessarily, it must be shown that the definiens is satisfied by the same object across possible worlds. | |
| From: Anil Gupta (Definitions [2008], 2.4) |
| 11227 | The 'revision theory' says that definitions are rules for improving output [Gupta] |
| Full Idea: The 'revision theory' of definitions says definitions impart a hypothetical character, giving a rule of revision rather than a rule of application. ...The output interpretation is better than the input one. | |
| From: Anil Gupta (Definitions [2008], 2.7) | |
| A reaction: Gupta mentions the question of whether such definitions can extend into the trans-finite. |
| 11224 | Traditional definitions are general identities, which are sentential and reductive [Gupta] |
| Full Idea: Traditional definitions are generalized identities (so definiendum and definiens can replace each other), in which the sentential is primary (for use in argument), and they involve reduction (and hence eliminability in a ground language). | |
| From: Anil Gupta (Definitions [2008], 2.2) |
| 11226 | Traditional definitions need: same category, mention of the term, and conservativeness and eliminability [Gupta] |
| Full Idea: A traditional definition requires that the definiendum contains the defined term, that definiendum and definiens are of the same logical category, and the definition is conservative (adding nothing new), and makes elimination possible. | |
| From: Anil Gupta (Definitions [2008], 2.4) |
| 11221 | A definition can be 'extensionally', 'intensionally' or 'sense' adequate [Gupta] |
| Full Idea: A definition is 'extensionally adequate' iff there are no actual counterexamples to it. It is 'intensionally adequate' iff there are no possible counterexamples to it. It is 'sense adequate' (or 'analytic') iff it endows the term with the right sense. | |
| From: Anil Gupta (Definitions [2008], 1.4) |
| 11217 | Chemists aim at real definition of things; lexicographers aim at nominal definition of usage [Gupta] |
| Full Idea: The chemist aims at real definition, whereas the lexicographer aims at nominal definition. ...Perhaps real definitions investigate the thing denoted, and nominal definitions investigate meaning and use. | |
| From: Anil Gupta (Definitions [2008], 1.1) | |
| A reaction: Very helpful. I really think we should talk much more about the neglected chemists when we discuss science. Theirs is the single most successful branch of science, the paradigm case of what the whole enterprise aims at. |
| 11216 | If definitions aim at different ideals, then defining essence is not a unitary activity [Gupta] |
| Full Idea: Some definitions aim at precision, others at fairness, or at accuracy, or at clarity, or at fecundity. But if definitions 'give the essence of things' (the Aristotelian formula), then it may not be a unitary kind of activity. | |
| From: Anil Gupta (Definitions [2008], 1) | |
| A reaction: We don't have to accept this conclusion so quickly. Human interests may shift the emphasis, but there may be a single ideal definition of which these various examples are mere parts. |
| 11218 | Stipulative definition assigns meaning to a term, ignoring prior meanings [Gupta] |
| Full Idea: Stipulative definition imparts a meaning to the defined term, and involves no commitment that the assigned meaning agrees with prior uses (if any) of the term | |
| From: Anil Gupta (Definitions [2008], 1.3) | |
| A reaction: A nice question is how far one can go in stretching received usage. If I define 'democracy' as 'everyone is involved in decisions', that is sort of right, but pushing the boundaries (children, criminals etc). |
| 11220 | Ostensive definitions look simple, but are complex and barely explicable [Gupta] |
| Full Idea: Ostensive definitions look simple (say 'this stick is one meter long', while showing a stick), but they are effective only because a complex linguistic and conceptual capacity is operative in the background, of which it is hard to give an account. | |
| From: Anil Gupta (Definitions [2008], 1.2) | |
| A reaction: The full horror of the situation is brought out in Quine's 'gavagai' example (Idea 6312) |
| 18928 | If maximalism is necessary, then that nothing exists has a truthmaker, which it can't have [Cameron] |
| Full Idea: I think truthmaker theory is contingently true. [n24] If there could have been nothing, what makes that true? But if truthmaker maximalism is a necessary truth, there's necessarily something. | |
| From: Ross P. Cameron (Truthmaking for Presentists [2011], 4 n24) | |
| A reaction: Truthmaking is beginning to feel like Gödel's Theorems. You can 'make' lots and lots of truths ('prove' in Gödel), but there will be truths that elude the making. Truthmaker theory itself will be one example. So is Maximalism another one? |
| 18931 | Determinate truths don't need extra truthmakers, just truthmakers that are themselves determinate [Cameron] |
| Full Idea: I reject saying there must be an additional truthmaker for 'Determinately, p': rather, I say that the truthmaker for p must simply be a determinate existent rather than a mere existent. | |
| From: Ross P. Cameron (Truthmaking for Presentists [2011], 6) | |
| A reaction: As he puts it (quite persuasively), God doesn't need to add an extra truthmaker for a determinate truth. Cameron rejects Necessitarianism. He uses 'determinate' fairly uncritically. What makes the truth of the truthmaker's determinacy? |
| 18932 | The facts about the existence of truthmakers can't have a further explanation [Cameron] |
| Full Idea: The orthodox truthmaker theorist thinks the facts concerning the existence of the truthmakers do not admit of further explanation. | |
| From: Ross P. Cameron (Truthmaking for Presentists [2011], 6) | |
| A reaction: It is fairly obvious, I suppose, that not every truth can have a truthmaker, just as the verification principle could not be verified, and you can't perceive your perception in order to check it. Could God withdraw the power of truthmaking? |
| 18923 | The present property 'having been F' says nothing about a thing's intrinsic nature [Cameron] |
| Full Idea: The property 'being such as to have been a child' is suspicious because it points beyond its instances in the sense that a thing's presently having that property tells us nothing about the present intrinsic nature of the thing. | |
| From: Ross P. Cameron (Truthmaking for Presentists [2011], 2) | |
| A reaction: This is his objection to what he calls the 'Lucretian' strategy, which tries to make history into a property of present reality. That is implausible, I think, because there is no test for the property, apart from knowledge of the past. Reality is tensed? |
| 18926 | One temporal distibution property grounds our present and past truths [Cameron] |
| Full Idea: Temporal distributional properties are fundamental - it is exactly the same property that is grounding the truth about how the bearer now is that is grounding truths about how the bearer was. | |
| From: Ross P. Cameron (Truthmaking for Presentists [2011], 4) | |
| A reaction: Some kind of slight of hand is going on here, though he does a nice job of confronting all possible objections. This is the sort of metaphysics you come up with when you stake everything on the dubious notion of a 'property'. |
| 18929 | We don't want present truthmakers for the past, if they are about to cease to exist! [Cameron] |
| Full Idea: Whilst not logically inconsistent, it would be bad if it could now be true that ten years ago there was a sea battle, but that five years ago it wasn't true that five years before that there was a sea battle. | |
| From: Ross P. Cameron (Truthmaking for Presentists [2011], 4) | |
| A reaction: Nicely makes the point that you can't let the past rely on truthmakers in the present, if those truthmakers are about to go out of existence. So you need a sustained truthmaker, without giving up presentism. Enter 'temporally distributed properties'? |
| 11222 | The ordered pair <x,y> is defined as the set {{x},{x,y}}, capturing function, not meaning [Gupta] |
| Full Idea: The ordered pair <x,y> is defined as the set {{x},{x,y}}. This does captures its essential uses. Pairs <x,y> <u,v> are identical iff x=u and y=v, and the definition satisfies this. Function matters here, not meaning. | |
| From: Anil Gupta (Definitions [2008], 1.5) | |
| A reaction: This is offered as an example of Carnap's 'explications', rather than pure definitions. Quine extols it as a philosophical paradigm (1960:§53). |
| 18924 | Being polka-dotted is a 'spatial distribution' property [Cameron] |
| Full Idea: Spatial distribution properties say how things are across a region of space, such as being polka-dotted. | |
| From: Ross P. Cameron (Truthmaking for Presentists [2011], 3) | |
| A reaction: I think the routine fallacy of inferring properties from predicates is buried here. We truthfully describe it as 'polka-dotted', but that doesn't mean we must reify polka-dottedness, and see it as a feature of the world. What is a 'jumbled' space? |
| 18930 | Change is instantiation of a non-uniform distributional property, like 'being red-then-orange' [Cameron] |
| Full Idea: What change is on the account being offered is to instantiate a non-uniform distributional property. Being red at one time and orange at a later time is to be analysed as instantiating the distributional property 'being red-then-orange'. | |
| From: Ross P. Cameron (Truthmaking for Presentists [2011], 4) | |
| A reaction: One of those moments when you begin to doubt whether 'being analysed' successfully actually adds much to our wisdom. His property sounds suspiciously 'gruesome' - i.e. subject to the vagaries of how we chose to describe the thing. |
| 1748 | Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius] |
| Full Idea: Archelaus was the first person to say that the universe is boundless. | |
| From: report of Archelaus (fragments/reports [c.450 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 02.Ar.3 |
| 18927 | Surely if things extend over time, then time itself must be extended? [Cameron] |
| Full Idea: If there are temporally extended entities - and there are - then there must be extended regions of time for those entities to extend in. Hence presentism is false. | |
| From: Ross P. Cameron (Truthmaking for Presentists [2011], 4) | |
| A reaction: [Cameron is playing devil's advocate] Something has to be weird here, and I take it to be the fact that the past no longer exists, and yet it is fixed and supports truths. Get over it. My childhood has gone. Totally. Irrevocably. |
| 5989 | Archelaus said life began in a primeval slime [Archelaus, by Schofield] |
| Full Idea: Archelaus wrote that life on Earth began in a primeval slime. | |
| From: report of Archelaus (fragments/reports [c.450 BCE]) by Malcolm Schofield - Archelaus | |
| A reaction: This sounds like a fairly clearcut assertion of the production of life by evolution. Darwin's contribution was to propose the mechanism for achieving it. We should honour the name of Archelaus for this idea. |