11 ideas
18859 | Metaphysics is a quest for truthmakers [Tallant] |
Full Idea: In this book I will treat metaphysics as a quest for truthmakers. | |
From: Jonathan Tallant (Metaphysics: an introduction [2011], 01) | |
A reaction: I find this appealing, though obviously you have to say what sort of truthmakers generate 'metaphysical' truths, as opposed to physics or biology. I take it that would involve truthmakers that had a high level of generality, idealisation and abstraction. |
18861 | Maybe number statements can be paraphrased into quantifications plus identities [Tallant] |
Full Idea: One strategy is whenever we are presented with a sentence that might appear to entail the existence of numbers, all that we have to do is paraphrase it using a quantified logic, plus identity. | |
From: Jonathan Tallant (Metaphysics: an introduction [2011], 03.5) | |
A reaction: This nominalist strategy seems fine for manageable numbers, but gets in trouble with numbers too big to count (e.g. grains of sand in the world) , or genuine infinities. |
18866 | Maybe only 'positive' truths need truth-makers [Tallant] |
Full Idea: We might say that those truths that do not need truth-makers are those that are negative. Those that do need truth-makers are those that are positive. | |
From: Jonathan Tallant (Metaphysics: an introduction [2011], 10.8) | |
A reaction: If you deny the existence of something, there is always an implicit domain for the denial, such as 'on the table', or 'in this building', or 'in the cosmos'. So why can't that domain be the truthmaker for a negative existential? |
18860 | A truthmaker is the minimal portion of reality that will do the job [Tallant] |
Full Idea: A 'minimal' truth-maker is the 'smallest' portion of reality required to make a given proposition true. | |
From: Jonathan Tallant (Metaphysics: an introduction [2011], 01.2) | |
A reaction: A nice suggestion. This seems to make Ockham's Razor an integral part of the theory of truth-makers. I would apply the same principle to explanations. An Ockhamist explanation is what explains the puzzling thing - and nothing else. |
18863 | What is the truthmaker for a possible new power? [Tallant] |
Full Idea: What power will make true 'there could be a power that does not in fact exist'? | |
From: Jonathan Tallant (Metaphysics: an introduction [2011], 04.13) | |
A reaction: Nice question. We can't know whether it is true that a new power could exist, so we can't expect an actual truthmaker for it. Though we might predict new powers (such as for a new transuranic element), on the basis of the known ones. |
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'. |
21554 | Sets always exceed terms, so all the sets must exceed all the sets [Lackey] |
Full Idea: Cantor proved that the number of sets in a collection of terms is larger than the number of terms. Hence Cantor's Paradox says the number of sets in the collection of all sets must be larger than the number of sets in the collection of all sets. | |
From: Douglas Lackey (Intros to Russell's 'Essays in Analysis' [1973], p.127) | |
A reaction: The sets must count as terms in the next iteration, but that is a normal application of the Power Set axiom. |
21553 | It seems that the ordinal number of all the ordinals must be bigger than itself [Lackey] |
Full Idea: The ordinal series is well-ordered and thus has an ordinal number, and a series of ordinals to a given ordinal exceeds that ordinal by 1. So the series of all ordinals has an ordinal number that exceeds its own ordinal number by 1. | |
From: Douglas Lackey (Intros to Russell's 'Essays in Analysis' [1973], p.127) | |
A reaction: Formulated by Burali-Forti in 1897. |
18864 | The wisdom of Plato and of Socrates are not the same property [Tallant] |
Full Idea: It is not the case that Plato's wisdom = Socrates's wisdom. Platonic-wisdom and Socratic-wisdom are not the same property. | |
From: Jonathan Tallant (Metaphysics: an introduction [2011], 05.4) | |
A reaction: This seems reasonable in the case of wisdom, but not so clear in the case of indistinguishable properties of redness or squareness or mass. Nevertheless it gives nice support for trope theory. |
18865 | Substance must have two properties: individuation, and property-bearing [Tallant] |
Full Idea: It appears that substance has essential properties: it is of the essence of substance that it individuates, and it is of the essence of substance that it bears properties. | |
From: Jonathan Tallant (Metaphysics: an introduction [2011], 06.2) | |
A reaction: The point being that substances are not 'bear', because they have a role to perform, and a complete blank can't fulfil a role. We can't take substance, though, seriously in ontology. It is just a label for distinct individuals. |
18862 | Are propositions all the thoughts and sentences that are possible? [Tallant] |
Full Idea: One might be tempted to the view that there are as many different propositions as there are thoughts that could be thought and sentences that could be uttered. | |
From: Jonathan Tallant (Metaphysics: an introduction [2011], 04.5.3) | |
A reaction: A fairly orthodox view I take to be crazy. I think it is a view designed for logic, rather than for how the world is. Why tie propositions to what can be thought, and then introduce unthought propositions? Why no unthinkable propositions? |