But that is the syntax, or the rules of argument construction and transmission. The geometry of relations to complement the algebra of the relatables. — apokrisis
As appears from the classification, the remarkable novelty of Peirce’s logical critics is that it embraces three essentially distinct though not entirely unrelated types of inferences: deduction, induction, and abduction.
So that suggests it all comes back to "number" — apokrisis
I would agree with all this. The point of an education is to lift us above the socio-cultural constraints of an oral world order – socially constructed in words – to a technocratic or rational world order. And that is socially constructed in numbers as signs that connect semantics and syntax into some pragmatic business of utterances and locutions. — apokrisis
So that would make the maths more clearly the handmaiden to the physics? — apokrisis
By static and archival, I meant fixed; — tim wood
When you say many are not, what do you mean? — tim wood
And there is the physical view that is essentially geometric – as spacetime rather matters – or the algebraic view where even geometry can apparently be reduced beyond spacetime ... but then that little tussle re-emerges again when we move up the next level of abstraction, as in topological order? — apokrisis
The quadrivium was the upper division of medieval educational provision in the liberal arts, which comprised arithmetic (number in the abstract), geometry (number in space), music (number in time), and astronomy (number in space and time). — Quadrivium | Wikipedia
Deductive logic does not produce anything not in the assumptions. — Banno
Logic is just how to talk with some sort of consistency. — Banno
in your opinion do you think physics describes logic? — Shawn
It's interesting how people can read a work and yet somehow avoid making contact with the author's ideas. — Tom Storm
The proposition, from Seneca and Theophrastus and through St. Jerome, being that the would-be philosopher – or theologian – must devote himself to meditation and the study of books. — tim wood
But book themselves may have a share of culpability, in that they’re static, archives of what was. — tim wood
Something is not according to the plan, their idea, and one is anxious about it.
It's just that the lust to have it all under control is so loud that we are faced with great anxiety. — MorningStar
It is impossible to definitively define what a lie is. — Treatid
The perception of a lie doesn't exist in written words - it exists in your mind. — Treatid
However, understanding exactly why the paradox is not very paradoxical illuminates the nature of understanding and has direct implications in our pursuit of knowledge. — Treatid
Godel's incompleteness theorems use the same basic structure as The Liar's paradox. As such, it is worth understanding the principles of contradiction/paradox. — Treatid
To us, when he says "i always lie", we must understand the language "game" involved. Either he HAS always lied and he is owning up to it or he is lying that he always lies, wherein he must have at least once spoken the truth.. The latter seems to be where the trouble is — Gregory
I answer sincere and coherent questions as best I can. — TonesInDeepFreeze
That's not "e.g." since it is not what you said - it is clearly weaker. — TonesInDeepFreeze
In the other thread, I think about three times, you claimed [...], or [...], or that [...]. Something to that effect. — TonesInDeepFreeze
That is a stupid analogy. — TonesInDeepFreeze
If you could say what more there is to science than honest bookkeeping then I'd be happy — Moliere
I believe scientists are very much still in that pursuit. — Moliere
Surely what Fauci said and did is not the same as what scientists do? — Moliere
Which is to say: Some scientists say outright lies to use the mantle of science for their cause, but in the long run scientists will criticize them and point out the truth because that's what we do: be annoying nerds about technical truths. lol — Moliere
Let me jump in somewhere: if a liar says he is lying, the foundation is shaky enough to allow either that he is telling the truth or that is he not (telling the truth). What exactly is he lying or not lying about? That's unclear. He is the premise, the substance, that is relative in the equation, so anything he says can either be true or false and we can't know because he, a priori, is an unreliable being. From his own perspective he may have some dialectic that tells him when and where he lies, but in our eyes we can assume nothing about what he says except that he lies most of the time. — Gregory
Indeed, a reply to your argument should not have overlooked your qualification 'in their right mind', so when you noted that, I immediately recognized that you did qualify that way. — TonesInDeepFreeze
Now, if you would only recognize that you were wrong to continue to claim I took a position, when I had posted at least a few times that I take the opposite of that position, and hopefully to desist from misrepresenting me that way. — TonesInDeepFreeze
However, I grant that would be qualified by your earlier "in their right mind". — TonesInDeepFreeze
My initial reply is that whether in right mind or not, it can be said. — TonesInDeepFreeze
Of course "Colourless green ideas sleep furiously" can be spoken.
One could go out tomorrow with a bullhorn on the Spanish Steps to say a hundred times
"Colourless green ideas sleep furiously! Do you hear me people, colourless green ideas sleep furiously!" — TonesInDeepFreeze
The objection to such a consideration is always something like, "No one in their right mind would ever speak such a thing." To consider an utterance that has no possible speaker is to consider a nonsensical utterance. — Leontiskos
1. Phil is a fool.
2. Colourless green ideas sleep furiously.
What is the difference between (1) and (2)? The relevant difference is simply that (1) has a possible (implicit or hypothetical) speaker whereas (2) does not. To merely assert that (1) has no hypothetical speaker is to ignore this difference between (1) and (2). The things that the OP is considering are like (2), not (1), ergo, "There is no possible speaker in such cases, and hence the "sentences" are nonsensical." — Leontiskos
I did not assert the sentence "Phil is a fool". There is no implied actual speaker of the sentence. And there is no implied hypothetical speaker of the sentence. Merely, I mentioned the sentence for consideration. — TonesInDeepFreeze
Sure you do. When someone considers the claim, "Colourless green ideas sleep furiously," you will inform them that the statement they are considering is nonsensical. We could say that to consider a possible utterance is to speak it secundum quid, and what is not able to be spoken is not able to be considered. The objection to such a consideration is always something like, "No one in their right mind would ever speak such a thing." To consider an utterance that has no possible speaker is to consider a nonsensical utterance.
Bringing this back, then, to the OP, we should ask whether the "sentences" in question—along with their attributed meaning—have any possible speaker. For example, is it possible for someone to speak, "I am lying," while simultaneously meaning that they are lying and that they are not-lying? No, it is not. There is no possible speaker in such cases, and hence the "sentences" are nonsensical (even in the additional cases where they are thought to have an extrinsic object). — Leontiskos
What are you, The Philosophy Forum interrogation officer? — TonesInDeepFreeze
The proponent of the "Liar's paradox" wants to say that something like, "This sentence is false,"* represents something that is simultaneously true and false in the way that constitutes a formal contradiction. I have no idea what they purport to mean by this. I think they are confused. I challenge them to give a coherent explanation for their thesis.
* Or that, "I am lying," represents an utterance that is simultaneously a lie and a non-lie. — Leontiskos
Aristotle thought that what is 'good' is a thing fulfilling its end (i.e., purpose: final cause); and, so, a 'good' human is a human which is properly fulfilling their Telos. It seems like Aristotle thinks that the nature of the human species is such that we should care about each other and seek to be just, but what about a devil species? Since Aristotle is attaching the 'goodness' or 'badness' of a thing relative to its nature, wouldn't it follow that a rational species, S, which had a nature completely anti-thetical to justice and altruism be a 'good' S IFF it was unjust and egoistic?
I am having a hard time fathoming how Aristotle is avoiding this glaring issue, even after reading his Eudemian and Nichomachean Ethics. Does anyone understand how Aristotle avoids or deals with this issue? Does anyone have any solutions to this problem?
At first I thought maybe tying the nature of rationality, in the case of a rational species, would dictate one should be just (to fulfill that nature); but I am failing at coming up with a good argument for that. — Bob Ross
What are your thoughts? — Igitur
Again, you are prosecuting the fact that I don't presume to have a full explanation of, and resolute position on, the liar paradox. — TonesInDeepFreeze
Modern affairs and lived experience are telling me that people are broadly still sheep that need herding. — Lionino
It is true that knowing the way many writers in logic have not found the subject silly helps to understand why it is of interest. — TonesInDeepFreeze
Despite the fact that these sentences of yours are not grammatically correct, you are of course welcome to try to defend your assertions.
Here is the central sort of question you are avoiding:
is it possible for someone to speak, "I am lying," while simultaneously meaning that they are lying and that they are not-lying?
— Leontiskos — Leontiskos
You also seem to be committing a genetic fallacy. — wonderer1
And I did engage the original question. And I've given good background and information about. — TonesInDeepFreeze
Recently in another thread another poster took exception to certain senses of 'grammatical'. — TonesInDeepFreeze
And we may consider sentences that are displayed without implication (sic) that they have an implied or even hypothetical speaker. There (sic) instances in which we may consider display (sic) of a sentence so that we may consider it in and of itself. — TonesInDeepFreeze
Do you think that being employed by an institution is somehow contradictory to being a man who seeks truth? — wonderer1
Science is a practice of bookkeeping guess work.
But the only way to make that bookkeeping guess work worthwhile is through honesty, or perhaps another virtue.
So, transcendentally: How is it possible to arrive at scientific truth? The only possible way is through honest bookkeeping. — Moliere
Now-a-days I'd say science is a profession tailored to the economy. I want to figure out how to tie it to Marx, duh, and so call it knowledge-production. — Moliere
So, by the middle of the 20th century, the scientific community — in the United States and many other Western countries — had achieved a goal long wished for by many of its most vocal members: it had been woven into the fabric of ordinary social, economic, and political life. For many academic students of science — historians, sociologists, and, above all, philosophers — that part of science which was not an academic affair remained scarcely visible, but the reality was that most of science was now conducted within government and business, and much of the public approval of science was based on a sense of its external utilities — if indeed power and profit should be seen as goals external to scientific work. Moreover, insofar as academia can still be viewed as the natural home of science, universities, too, began to rebrand themselves as normal sorts of civic institutions. For at least half a century, universities have made it clear that they should not be thought of as Ivory Towers; they were not disengaged from civic concerns but actively engaged in furthering those concerns. They have come to speak less and less about Truth and more and more about Growing the Economy and increasing their graduates’ earning power. The audit culture imposed neoliberal market standards on the evaluation of academic inquiry, offering an additional sign that science properly belonged in the market, driven by market concerns and evaluated by market criteria. The entanglement of science with business and statecraft historically tracked the disentanglement of science from the institutions of religion. That, too, was celebrated by scientific spokespersons as a great victory, but the difference here was that science and religion in past centuries were both in the Truth Business.
When science becomes so extensively bonded with power and profit, its conditions of credibility look more and more like those of the institutions in which it has been enfolded. Its problems are their problems. Business is not in the business of Truth; it is in the business of business. So why should we expect the science embedded within business to have a straightforward entitlement to the notion of Truth? The same question applies to the science embedded in the State’s exercise of power. Knowledge speaks through institutions; it is embedded in the everyday practices of social life; and if the institutions and the everyday practices are in trouble, so too is their knowledge. Given the relationship between the order of knowledge and the order of society, it’s no surprise that the other Big Thing now widely said to be in Crisis is liberal democracy. The Hobbesian Cui bono? question (Who benefits?) is generally thought pertinent to statecraft and commerce, so why shouldn’t there be dispute over scientific deliverances emerging, and thought to emerge, from government, business, and institutions advertising their relationship to them? — Steve Shapin, Is There a Crisis of Truth?