9 ideas
| 15395 | Give up objects necessitating truths, and say their natures cause the truths? [Cameron] |
| Full Idea: We could abandon the view that truthmakers necessitate the truth of that which makes them true, and say that an object makes a truth when its intrinsic nature suffices for that truth. The object would have a different intrinsic nature if the truth failed. | |
| From: Ross P. Cameron (Intrinsic and Extrinsic Properties [2009], 'Truthmakers') | |
| A reaction: [He cites Josh Parsons 1999, 2005 for this] This approach seems closely related to Kit Fine's proposal that necessities arise from the natures of things. It sounds to me as if an object with that intrinsic nature would necessitate that truth. |
| 15394 | Truthmaker requires a commitment to tropes or states of affairs, for contingent truths [Cameron] |
| Full Idea: The most popular view is that an object is a truthmaker if the object couldn't exist and the truth be false. But contingent predications are also held to need truthmakers. Socrates is not necessarily snub-nosed, so a trope or state of affairs is needed. | |
| From: Ross P. Cameron (Intrinsic and Extrinsic Properties [2009], 'Truthmakers') | |
| A reaction: Cameron calls this 'some heavy ontological commitments'. If snub-nosedness is necessitated by the trope of 'being snub-nosed', what is the truthmaker for Socrates having that trope? |
| 15941 | For intuitionists excluded middle is an outdated historical convention [Brouwer] |
| Full Idea: From the intuitionist standpoint the dogma of the universal validity of the principle of excluded third in mathematics can only be considered as a phenomenon of history of civilization, like the rationality of pi or rotation of the sky about the earth. | |
| From: Luitzen E.J. Brouwer (works [1930]), quoted by Shaughan Lavine - Understanding the Infinite VI.2 | |
| A reaction: [Brouwer 1952:510-11] |
| 18247 | Brouwer saw reals as potential, not actual, and produced by a rule, or a choice [Brouwer, by Shapiro] |
| Full Idea: In his early writing, Brouwer took a real number to be a Cauchy sequence determined by a rule. Later he augmented rule-governed sequences with free-choice sequences, but even then the attitude is that Cauchy sequences are potential, not actual infinities. | |
| From: report of Luitzen E.J. Brouwer (works [1930]) by Stewart Shapiro - Philosophy of Mathematics 6.6 | |
| A reaction: This is the 'constructivist' view of numbers, as espoused by intuitionists like Brouwer. |
| 15401 | Essentialists say intrinsic properties arise from what the thing is, irrespective of surroundings [Cameron] |
| Full Idea: The essentialist approach would be to say that an intrinsic property is one such that it is no part of what it is to instantiate that property that the bearer stands in some relation to its surroundings. | |
| From: Ross P. Cameron (Intrinsic and Extrinsic Properties [2009], 'Analysis') | |
| A reaction: This is offered as an alternative to the David Lewis account in terms of duplicates across possible worlds. You will have gathered by now, if you have spent days poring over my stuff, that I favour the essentialist approach. |
| 15393 | An object's intrinsic properties are had in virtue of how it is, independently [Cameron] |
| Full Idea: Intrinsic properties are those that an object has solely in virtue of how it is, independently of its surroundings. | |
| From: Ross P. Cameron (Intrinsic and Extrinsic Properties [2009], 'Intro') | |
| A reaction: Better not mention quantum mechanics and fields if you want to talk of objects being independent of their surroundings. Am I 'independent' of gravity, or is gravity 'independent' of me? |
| 15396 | Most criteria for identity over time seem to leave two later objects identical to the earlier one [Cameron] |
| Full Idea: Criteria for identity across times have proven hard to give. Whatever criteria we lay down, it seems that there are possible situations in which two later objects bear the relevant relation to one earlier object, though only one of them can be identical. | |
| From: Ross P. Cameron (Intrinsic and Extrinsic Properties [2009], 'Personal') | |
| A reaction: We only have to think of twins, amoebae that fission, and the Ship of Theseus. We seem to end up inventing a dubious criterion in order to break the tie. |
| 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. |