We bring one and two into existence, by an intentional act - it's something we do. Some important aspects of this. First, its we who bring this about, collectively; this is not a private act nor something that is just going on in the mind of one individual. Hence there are right and wrong ways to count. — Banno
Next, the existence had here is that of being the subject of a quantification, as in "Two is an even number". — Banno
the account I gave above indicates how stuff like numbers and property and so on are constructed, by modelling that construction in a higher order logic. — Banno
The idea of autonomy is central to my theory of the third world: although the third world is a human product, a human creation, it creates in its turn . . . its own domain of autonomy. — Objective Knowledge, 118
The sequence of natural numbers is a human construction. But although we create this sequence, it creates its own autonomous problems in its turn. The distinction between odd and even numbers is not created by us; it is an unintended and unavoidable consequence of our creation. — Objective Knowledge, 118
The first step of constitution of a multiplicity is the awareness of the temporal succession of parts, each of which we are made aware of as elements “separately and specifically noticed”. In the case of numbers, one must abstract away everything else about those elements (color, size, texture) other than that they have been individually noticed as an empty ‘unit’. — Joshs
My claim is that it doesn't make sense to argue that both of these are true:
1. Quine atoms exist in the platonistic sense
2. Quine atoms don't exist in the platonistic sense
One of them is true and one of them is false. — Michael
But does each thing (or, what is equivalent here: does any thing at all) have such an essence of its own in the first place? Or is the thing, as it were, always underway...?
drawing from encounters with concrete data — Joshs
activities exercised upon concrete contents
The alternative, more robust scheme-content distinction Wang proposes involves what he calls “common-sense experience” (this plays the role of content) and whatever conceptual scheme may be in play among a given community. What is key here is that, for Wang, common-sense experience (which he also calls “thick experience,” drawing from James) is not “innocent” of theoretical influence. It is not the same thing as a Kantian/Quinian uninterpreted world of sense-data or things-as-they-are. Our basic experience, the most basic one possible (and this will prove to be crucial), is already theory-laden. — J
We can only take the approach of mathematical fictionalism and say that they [the items in question] exist according to New Foundations but not according to ZFC. — Michael
I don't think it makes any sense to say that they platonistically exist in New Foundations but don't platonistically exist in ZFC. — Michael
I don't think it makes any sense to say that they platonistically exist in New Foundations but don't platonistically exist in ZFC. We can only take the approach of mathematical fictionalism and say that they exist according to New Foundations but not according to ZFC. — Michael
You can believe that numbers and other abstracta really and truly exist without being a mathematical platonist. You merely assert that they exist because we have created them, and they will cease to exist if we also cease.
— J
What about the laws of logic, like the law of the excluded middle? Does that cease to obtain in the absence of rational sentient beings? — Wayfarer
Meaning whatever reality they possess is contingent - so they can’t ‘really and truly exist’. — Wayfarer
I tend towards objective idealism - that logical and arithmetical fundamentals are real independently of any particular mind, but can only be grasped by an act of rational thought. — Wayfarer
Platonism about mathematics (or mathematical platonism) is the metaphysical view that there are abstract mathematical objects whose existence is independent of us and our language, thought, and practices.
Sebastian Rödl
— J
I've read about his books and tried to tackle some of his papers, but I'm finding him difficult reading. I would be pleased if there was another here with some interest. — Wayfarer
Is the idea here that just thinking something is asserting it? — Count Timothy von Icarus
Philosophers are in the habit of indicating the object of judgment by the letter p. There is an insouciance with respect to this fateful letter. It stands ready quietly, unobtrusively, to assure us that we know what we are talking about. For example, when we do epistemology, we are interested in what it is for someone to know—know what? oh yes: p. If we inquire into rational requirements on action or intention, we ask what it is to be obliged to—what? oh yes: see to it that p, intend that p, if p then q, and so on. However, if we undertake to reflect on thought, on its self-consciousness and its objectivity, then the letter p signifies the deepest question and the deepest comprehension. If only we understood the letter p, the whole would open up to us. — Self-Consciousness & Objectivity
So yes, the distinction you're making between contraries and contradictories is extremely important. The essential unity of the thinker with the thought, the knower with the world, can only be shown by rejecting, as Kimhi does, the idea that a proposition can be true or false in the absence of some context of assertion.
Agreed, although I don't know if "context of assertion" is the right framing. Beliefs can be true or false without being needing to be "asserted." — Count Timothy von Icarus
Are we sure that thought and being exist in the sort of relationship that needs to be "conformed" or "adequated"?
Well, presumably we need to be able to explain false beliefs and false statements. There is adequacy in the sense of "believing the Sun rotates around the Earth" being, in important ways, inadequate. — Count Timothy von Icarus
Can we paint a plausible picture that is at bottom monistic?
Monistic in what sense? — Count Timothy von Icarus
"Thinking cannot be dependent for its success on anything that is external to it." — Kimhi, 23
So, without having to make any commitments to any specific sort of correspondence or identity relationship between thought and being, we can simply leave it as "truth is the conformity or adequacy of thought to being." — Count Timothy von Icarus
A major difficulty for modern thought has been the move to turn truth and falsity into contradictory opposites, as opposed to contrary opposites (i.e. making truth akin to affirmation and negation). — Count Timothy von Icarus
I answer that, True and false are opposed as contraries, and not, as some have said, as affirmation and negation. (Aquinas)
A capacity meta logou is categorematic: it is specified by a verb -- say, to heal -- and its positive and negative acts are contraries. A logical capacity is syncategorematic: it is specified by a proposition, and its positive and negative acts are contradictories. — Thinking and Being, 61
Capacities meta logou are two-way capacities because they involve logical capacities. It is because doctors must judge how best to heal their patients that they can also judge how best to poison them. — Thinking and Being, 61
We say that the utterance is true if its propositional content "resembles" (for want of a better word) the landscape being described and false if it doesn't. — Michael
Even if we want to distinguish an utterance from its propositional content, an utterance is required for there to be propositional content. Propositional content, whether true or false, doesn't "exist" as some mind-independent abstract entity that somehow becomes the propositional content of a particular utterance. — Michael
The word “it” in the phrase “is it true?” refers to either an utterance or an utterance-dependent proposition, and so asking if an utterance or proposition is true before it is uttered is a nonsensical question, like asking if a painting is accurate before it is painted. — Michael
Yes, but you have said that from your perspective the choices made by Boethius are better for them and "the best option they have available," and that it is better for them. But now you seem to think it is actually better for them to lack the strength of will to follow through on their convictions. Such a view also entails that Socrates, Boethius, etc. are simply wrong about what is truly to their benefit. Egoism is actually to their benefit. They are deluded in thinking it isn't. — Count Timothy von Icarus
I don't see how such a position doesn't require the presupposition that "benefit" means something like "egoistic pursuit of one's own pleasure," or something similar. — Count Timothy von Icarus
you seem to have stepped back from your previous positions to presupposing "morally good is a sui generis sort of good unrelated to other uses of the term. " — Count Timothy von Icarus
Right, but now you seem to have stepped back from your previous positions to presupposing "morally good is a sui generis sort of good unrelated to other uses of the term. "
What's the justification for this? Where is the argument for it? — Count Timothy von Icarus
Stalin lived a fairly miserable life, a life defined by constant paranoia and a lack of close relations. — Count Timothy von Icarus
A prescriptive ethics ( we SHOULD avoid hostility ) only makes sense in a psychology which requires a separate motivational mechanism pushing or pulling us in ethical or unethical directions . But we don't need to be admonished to choose in favor of sense-making strategies that are optimally anticipatory, since this is already built into our motivational aims — Joshs
The question of why and to what extent a person embraces hostility should be seen as a matter of how much uncertainty that person's system is capable of tolerating without crumbling, rather than a self-reinforcing desire for hostile thinking. — Joshs
Nothing in virtue ethics suggests that we need to claim that being tortured "benefits us." This is a creation of your own invention you keep returning to, moving from "it is good to be virtuous," to "it is good to be tortured" seems a bit much, no?
It benefits us to possess the virtues. — Count Timothy von Icarus
What's weird is, you accept that Socrates or Boethius choose the best possible option available to them. But then, on your view, choosing the best possible option doesn't benefit us. We would benefit more from choosing what is worse (e.g. fleeing and escaping for Socrates, or recanting and obsequiously pleading for mercy) in this case. — Count Timothy von Icarus
we have a case where "it is better/more to our benefit for us to choose what is worse?" and the "worse is better than the better." — Count Timothy von Icarus
Is your contention that it isn't beneficial for us to be virtuous? — Count Timothy von Icarus
This is the hostile option. — Joshs
We cannot get beyond this link between the lovable and the recognizable without losing the basis of any ethics, which is the ability to distinguish between, even if without yet defining, what is preferred and what is not. — Joshs
Ethical striving toward empathy, love and compassion are derivative modes of sense-making. — Joshs
intelligibility is socially constrained — Joshs
I’m not trying to suggest that a single monolithic episteme underlies all forms of cultural creativity in a given era for a given community, but I am saying that these systems are interlocked, such that it makes sense to talk about Romantic painting, literature, music philosophy and science and mean more than just that these domains all belong to the same chronological period. — Joshs
More importantly, when we move from one era to the next a certain discontinuity and incommensurability is involved — Joshs
An entire metaphysics of ethics is dependent on flattening and ignoring these discontinuities in intelligibility. — Joshs
But if matters of fact depend for their understanding on systems of intelligibility which are contingently culture-bound, why should notions of the ethical good be any different? — Joshs
Why shouldn’t Socrates be able to understand Kant, the thinking goes, given a sufficiently thorough period of study? Why shouldn’t the Qanon -touting Trump voter sitting next to you be able to absorb the raw facts when conferences directly with them? — Joshs
According to this dualism of ethical value and matters of fact, the ethical disagreement between a neoliberal and a progressive socialist is based on considerations entirely different from those having to do with matters of fact. — Joshs
This flattening of discontinuities in intelligibility between eras, and between individuals, provides justification for the idea that there is such a thing a a universally shared notion of the ethical good that comprises not just the desire to be moral, but a shared conceptual content that is as transparent as matters of fact. — Joshs
The other falls short of our ethical standards due to a failing of ‘integrity’, a ‘character flaw’ , dishonesty, evil intent , selfishness, etc. In doing so, we erase the difference between their world and ours, and turn our failure to fathom into their moral failure. — Joshs
Even J's approach seems to challenge this continuity, for he thinks that Kant's view is uniquely correct. If Kant's view is uniquely correct and is not a continuation of earlier moral philosophy, then how could Kant be continuous with earlier moral philosophy?
— Leontiskos
I've been reading along but not that closely.
What say you to this J ? — Moliere
I think the idea is something like modern thinking broke us off from ancient thinking to such a point that modern thought has lost the fundamental truth of philosophy -- wisdom -- in place of whatever it is pursuing right now (the idea here being that the ancients have a kind of "time tested" wisdom) — Moliere