2+2=4 is unfalsifiable and true, this refutes the statement "If it is unfalsifiable, it cannot have evidential warrant for its belief." — Hallucinogen
The student tried to apply Ohm's law, voltage = current x resistance. So the voltage would be zero (the current) times infinity (the resistance). Except, looking again, that would mean that the voltage divided by zero = infinity. Which makes no sense. — frank
Prior to the 19th Century, a convergent series would have been treated as if it reaches the limit, though it would have been ok to say it's actually just approaching it. In the 19th Century, they decided that it doesn't just approach it, it actually gets there because the function is continuous. — frank
This is all from proofs by Cauchy that I don't understand. Do you understand it? — frank
↪SophistiCat
Apparently you misread what I wrote. I had in mind the commonly imagined scifi scenario, where you are traveling at close to the speed of light and all processes. including bodily processes, are slowed down such that you are aging much more slowly than those who remain on Earth.
I was attempting to point to the absurdity of thinking that the bodily processes could be slowed down while the mental processes continued at the "normal" speed, which is also to point to the absurdity of thinking that the mental processes could be independence of the bodily. It would save wasted time if people read more carefully. — Janus
Yes, I agree that dualism is unsupportable. If we were traveling at speed close to c, aging of our bodies and all its physical processes would, according to the theory, greatly slow down. If our minds were independent of, and unaffected by, physical processes, and proceeding at their "normal" rate, then our subjective experience of mental processes would, presumably, seem vastly speeded up, which seems absurd. — Janus
Evidence just means "reasons to believe a proposition is true". — Hallucinogen
There's a claim I've come across numerous times, to the effect of "If P is unfalsifiable, then it cannot be known to be true or false".
There's been a few ways I've heard/seen it worded:
"If it is unfalsifiable, it cannot have evidential warrant for its belief",
"If it’s unfalsifiable, there’s no reason to believe it."
"Something that is unfalsifiable could be true, but there's no way for us to be able to conclusively determine that",
"If it’s unfalsifiable you don’t know if it is true or false." — Hallucinogen
1) To say that S is larger than S' means that S' is a proper subset of S.
( A definition that applies to all sets, regardless of their size. ) — Magnus Anderson
This is false, since that definition applies only to finite sets. — Banno
The cost here is the rejection of succession (roughly, that for every number there is another number that is one more than it; or more accurately, that we can talk about such an infinite sequence); and consequently the rejection of the whole of Peano mathematics. No small thing. — Banno
I see what you’re getting at, and I agree that bijection strictly extends our ability to reason about size — especially once infinities are in play. In that sense it’s an enrichment, not a rival notion. — Esse Quam Videri
Venezuela was already a failed state. How much worse could it get? — frank
A lot more worse.
Civil war. Hundreds of thousands of dead. Widespread famine. Failed state with competing regime that have divided the country. Or become like Haiti with criminal gangs running the country without any much if any operating government. — ssu
What is color? On the one hand it seems obvious that it is a property of objects - roses are red, violets are blue, and so on. On the other hand, even the red of a single petal of a rose differs in different lighting conditions or when seen from different angles, and the basic physical elements that make up the rose don't have colors. So is color instead a property of a mental state, or a relation between a perceiving mind and an object? In Outside Color: Perceptual Science and the Puzzle of Color in Philosophy (MIT Press, 2015), M. Chirimuuta defends an ontology of color that aims to capture the ontology implicit in contemporary perceptual science. Chirimuuta, an assistant professor of history and philosophy of science at the University of Pittsburgh, argues for color adverbialism, in which color is a property of an action-guiding interaction between an organism with the appropriate visual system and the environment. On her view, color vision is not for perceiving colors; it provides chromatic information that helps us perceive things.
I would tentatively answer "yes", and argue that contingency means dependency on conditions. Dependency implies ordered explanatory relations. A structure of ordered explanatory relations ultimately requires an unconditioned (ungrounded) ground. — Esse Quam Videri
Though I suppose on some exceedingly remote metaphysical and unreal "ultimate" level we still are observing objects seemingly regularly repeating things, but is it really very insightful to say that as long as we will remain human that there will be room for doubt? — hwyl
Most thinking has been at least partially about math, long before numbers were discovered. Consider the calculus needed to throw a spear accurately. — noAxioms
Pretty much nobody uses binary directly. — Mijin
H'm. Did he, by any chance, suggest a better term? — Ludwig V
In modal logic, “the actual world” is a designated element of a model, usually called w₀. It is not the metaphysical world, not the planet, not the territory. — Banno
If it is possible that p is true, then this means that either p is true or p is false. So this gives us (p or ~p). But we have asserted that p is true. Therefore (p or ~p) is also true. — EricH
I agree with most of that. I can see that we need to say that the actual is possible - even if that is a bit awkward in some ways. — Ludwig V
There's something wrong with saying that the actual world is possible and something wrong with saying that it is not possible. I am trying to express that by saying that the actual world is not merely possible and that it is different from all the other possible worlds in that respect — Ludwig V
That seems to me a bit confusing, because it suggests that the actual world is merely a possible world. Surely one needs to say something to the effect that the actual world is different from all the possible worlds. — Ludwig V
Do you think we'll see a true survival show by 2035? Like deathmatches or frantic races?
The participants could be death row inmates, debtors, or the terminally ill, and the action could take place in third-world countries. The technical details aren't so important; what matters is whether modern society is ready for such a show. — Astorre
There's a fine line here. Rogues are people who break the rules and thus evoke sympathy (something like Jack Sparrow). They remain within the rules themselves. The current conversation isn't about morally black (bad) people, but about morally gray people. That is, those who live entirely outside the good/bad paradigm. The phenomenon I'm talking about has a somewhat different nature. These heroes seem bad, but they are a reflection of us—they're just like us, with everyday problems. And we no longer know whether they're bad or not, or whether we can justify them (because we're all a bit like Walter White). — Astorre
"Free will" as such doesn't have much of an ordinary use, though, outside of legal contexts. — Pierre-Normand
Anthony Kenny does a very good job in his little book "Freewill and Responsibility" of clarifying the concept in its relations to various categories of mens rea (from strict liabilities, through negligence or recklessness, to specific intent.) This yields a sort of thick compatibilist notion that goes beyond mere freedom from "external" circumstances and extends outside of legal contexts to those of warranted reactive attitudes like praise and blame. In those more ordinary contexts, the question seldom arise of one having acted "of their own free will." We rather ask more ordinary questions like, "could they have done better?" or "is their action excusable?" Something like the Kantian dictum "must implies can" finds its ordinary applications. — Pierre-Normand
Let me be clear: there are plenty of things we don't understand, or even are entirely speculative, but are perfectly valid concepts.
Free will has not even attained that level yet though. It's self inconsistent, at least in the formulations that I've seen. A reasoned choice that can't be traced to reasons. — Mijin
Is that at me? WTH? — Mijin
The core of the disagreement seems to be whether straightening up the popular and intuitive concept of free will amounts to a minor revision (which I think it does, like Dennett,) or to a wholesale replacement (like Harris thinks it does). — Pierre-Normand
1. The concept usually gets framed first around Determinism. The reasoning is that, if the universe is Deterministic I might think I chose coffee or tea, but actually that choice was predictable from the big bang. I only had the illusion of choice.
Fine.
2. Then, when it's pointed out that the universe may well not be determinstic, thanks to quantum indeterminancy, this is usually handwaved away. How can randomness be called choice?
3. But to me, (1) and (2) combined leave a bad smell. In (1) it seemed that the issue was with our decisions being predictable, being integrated in the causal chain of events. When the suggestion (2) arrives that this may not be the case, apparently it's still insufficient to have free will.
So, to me, at this point we should be asking What exactly do we mean by free will, and is it something which could even potentially exist? — Mijin
The popular "Could have chosen differently" is quite a woolly definition. Every reasoned action I've made in my life I did for reasons, that I could have told you at the time. And some of those reasons were more important to me than others. When we talk about "could have chosen differently" what do we mean in this picture -- that I could have been aware of different things, or would value different things more highly? But these things can also be traced to events / properties external to me. — Mijin
A reasoned choice is the product of reasoning: the product of (knowledge of) past events and individual predilections: both of which can be traced to causes outside of the self. — Mijin
I noticed that the term "Law (of Nature)" is misleading in your otherwise logically sound post. The term itself comes from 17th-century theology and jurisprudence (Descartes, Newton), when the world was seen as a divine code. But nature doesn't prescribe—it occurs. The term "Law (of Nature)" seems like a linguistic artifact. A more accurate expression would be "stable regularities of the physical world" or simply "physical invariants." — Astorre
Do we need to analyze thoughts in terms of causation? — SophistiCat
To this, I'd say no, we don't. I'm quite open to other hypotheses about the "relations," "affinities," "influences," "associations," et al. among thoughts. The only line I'd draw in the sand would be: We mustn't talk as if we already understand this issue, or as if there is no issue. — J
I think the topic should be:
How Does a Thought Cause Another Thought? — Patterner
