Combining Texts

All the ideas for 'Nominalism', 'Metaphysics: an introduction' and 'Knowledge and its Limits'

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14 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
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.
2. Reason / D. Definition / 12. Paraphrase
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.
3. Truth / B. Truthmakers / 3. Truthmaker Maximalism
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?
3. Truth / B. Truthmakers / 5. What Makes Truths / a. What makes truths
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.
3. Truth / B. Truthmakers / 12. Rejecting Truthmakers
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.
4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets
What is a singleton set, if a set is meant to be a collection of objects? [Szabó]
     Full Idea: The relationship between an object and its singleton is puzzling. Our intuitive conception of a set is a collection of objects - what are we to make of a collection of a single object?
     From: Zoltán Gendler Szabó (Nominalism [2003], 4.1)
     A reaction: The ontological problem seems to be the same as that of the empty set, and indeed the claim that a pair of entities is three things. For logicians the empty set is as real as a pet dog, but not for me.
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
Abstract entities don't depend on their concrete entities ...but maybe on the totality of concrete things [Szabó]
     Full Idea: It is better not to include in the definition of abstract entities that they ontologically depend on their concrete correlates. Note: ..but they may depend on the totality of concreta; maybe 'the supervenience of the abstract' is part of ordinary thought.
     From: Zoltán Gendler Szabó (Nominalism [2003], 2.2)
     A reaction: [the quoted phrase is from Gideon Rosen] It certainly seems unlikely that the concept of the perfect hexagon depends on a perfect hexagon having existed. Human minds have intervened between the concrete and the abstract.
8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes
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.
9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
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.
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
Belief aims at knowledge (rather than truth), and mere believing is a kind of botched knowing [Williamson]
     Full Idea: Knowing is the best kind of believing. Mere believing is a kind of botched knowing. In short, belief aims at knowledge (not just truth).
     From: Timothy Williamson (Knowledge and its Limits [2000], §1.5)
     A reaction: The difference between aiming at truth and aiming at knowledge has to be in the justificiation, so beliefs aim to be justified. Believers always aim at truth, but they can be strikingly relaxed about justification.
11. Knowledge Aims / A. Knowledge / 7. Knowledge First
Don't analyse knowledge; use knowledge to analyse other concepts in epistemology [Williamson, by DeRose]
     Full Idea: Williamson says that instead of being viewed as a concept to be analysed, knowledge should be seen as something useful in the analysis of all sorts of other concepts to epistemology - and to philosophy of mind as well.
     From: report of Timothy Williamson (Knowledge and its Limits [2000]) by Keith DeRose - The Case for Contextualism 1.8
     A reaction: I just don't believe this, because knowledge is obviously a complex state of mind, which invites breaking it down into ingredients. How could knowledge possibly be prior to truth?
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
Geometrical circles cannot identify a circular paint patch, presumably because they lack something [Szabó]
     Full Idea: The vocabulary of geometry is sufficient to identify the circle, but could not be used to identify any circular paint patch. The reason must be that the circle lacks certain properties that can distinguish paint patches from one another.
     From: Zoltán Gendler Szabó (Nominalism [2003], 2.2)
     A reaction: I take this to be support for the traditional view, that abstractions are created by omitting some of the properties of physical objects. I take them to be fictional creations, reified by language, and not actual hidden entities that have been observed.
18. Thought / E. Abstraction / 5. Abstracta by Negation
Abstractions are imperceptible, non-causal, and non-spatiotemporal (the third explaining the others) [Szabó]
     Full Idea: In current discussions, abstract entities are usually distinguished as 1) in principle imperceptible, 2) incapable of causal interaction, 3) not located in space-time. The first is often explained by the second, which is in turn explained by the third.
     From: Zoltán Gendler Szabó (Nominalism [2003], 2.2)
     A reaction: Szabó concludes by offering 3 as the sole criterion of abstraction. As Lewis points out, the Way of Negation for defining abstracta doesn't tell us very much. Courage may be non-spatiotemporal, but what about Alexander the Great's courage?
19. Language / D. Propositions / 2. Abstract Propositions / a. Propositions as sense
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?