Assume I've given all the relevant information, for the sake of discussion. — bert1
In the scenario, I am very hungry and want one of the cakes. I have a choice whether to eat a cake or not (according to street). The deliberation involves feelings of hunger and desire (nothing else). I eat one of the cakes. Not eating one of the cakes in this circumstance would involve other factors which I have not given (i.e. madness, cream allergy, diabetes, obesity, hallucination etc). My choice to eat one of the cakes is highly determined.
However I really don't mind at all which cake I eat. I make a choice and eat the jam doughnut. The question is, is this decision determined or not? I don't think it is. I think it is a free arbitrary choice. Is this even possible do you think? It's logically possible. Is it metaphysically possible? Physically possible? Psychologically possible? Or is there always a determinant? — bert1
Regarding vagueness, indulge me with this idealised scenario, which I grant might be impossible to actually exist. Just as the non-existence of perfect circles does not stop us calculating using assumptions of perfect circles when designing machines, I want to contrast the concepts of free and determined choice by using an idealised scenario. — bert1
Let's say I have a choice between having a chocolate eclair and a jam doughnut and I don't mind which. However I somehow manage to choose one. Is my choice determined or free? — bert1
The definition:
n>1: n! = n * (n-1)!
n=1: n! = 1
is indeed somehow circular, but that is the essence of recursion. It works absolutely fine. Wittgenstein does not seem to handle that. — alcontali
No, I think it is clearly not consistent. But the distinction between past and future is obviously "the present" — Metaphysician Undercover
I would be interested in knowing more about Ayer's rejection of memory as a means of distinguishing between past and future. Could you elaborate, or cite a reference?
It seems to me that experience (which happens in the present) is more than capable of distinguishing between before and after (e.g., cause and effect), and designating the measurable change: time (per Aristotle). — Galuchat
Therefore it is coherent to accept mathematical induction as a principle of construction, and yet reject it's interpretation as a soothsayer of theoremhood. — sime
For in what sense can a formal system speak of universal quantification over all of the natural numbers?
— sime
The standard way is assuming the principle of induction: if a proposition is true for n=0 and from the fact that is true for n you can prove that is true even for n+1, then you assume that is true for all natural numbers. (https://www.encyclopediaofmath.org/index.php/Induction_axiom)
It cannot be verified in a finite number of steps, so it's assumed as an axiom.
But assuming it to be false is not contradictory: you can assume the existence of numbers (inaccessible cardinals) that can never be reached by adding +1 an indefinite number of times (https://en.wikipedia.org/wiki/Inaccessible_cardinal). — Mephist
But our use of real numbers (at least for the most part) is in integrals and derivatives, right?
So the "dx" infinitesimals in integrals and derivatives should be the morally correct model? This is how real numbers are intuitively used since the XVII century. — Mephist
How is it possible for these dream characters that populate a dream world to have, seemingly, an intent of their own? Why would they? I mean, given that a dream world is practically tantamount to living in a solipsistic world, you would assume that you are the only person with a 'mind' within a dream. Yet, even in dreams where I am aware that I am dreaming (lucid dreams), I still find it hard to shake off the preprogrammed belief that the friend I meet, the father or mother I talk with, or the siblings I interact with in a dream have a mind of their own... — Wallows
So if we replaced your brain with sawdust, you'd still be conscious? — Marchesk
You know Chaitin's Omega? Very cool number, because it's actually a specific example of a noncomputable real number, or rather any one of a specific class of noncomputable reals. We can define it because it's a definable real even though it's not computable. It's not computable because if it were, it would solve the Halting problem, which Turing showed we can't do. — fishfry
I don't quite think this is right. How would you explain the clinical symptom of anhedonia? — Wallows
So, you are equating the two here? If so, then what does that mean? — Wallows
You seem to implicitly assume an objective reality that can be somehow accessed, referring to 'causes' as something objective that everyone would agree on, to personal dialects as being objectively translatable into one another. How could we agree on causes of what we experience if we don't agree on what we experience? How could we agree on an objective translation if in the first place we don't have access to what other people experience?
We use language as a rough way to try to see what others experience, if we had direct access to what others experience then your idea would be practical, but we don't, and that's the problem. Seeing the problem as a mere limitation of our current language is masking the deeper issue, it isn't a limit of our language, it is a limit of our ability to know what others experience. Words do not convey what others experience, they convey what we believe they experience, from our first-person point of view, making our language more precise wouldn't change that.
If there are experiences some people have that other people don't, why would the people who don't have these experiences agree that these experiences exist? For all they know those who claim having such experiences could be lying, or they could interpret these experiences falsely in terms of other experiences they've had. And that's not a limitation of our current language, that's a fundamental limitation of us not being omniscient. It seems to me that if we have different experiences, then we can't find something that everyone agrees on, or maybe everyone could agree on something temporarily but later on some would realize that they didn't have the same thing in mind when they were agreeing.
Maybe you will come to agree with me on this, but if you don't then that would only serve to support the idea that truth is personal. Until we find an example of truth that everyone agrees on, the concept of truth that applies to everyone is merely an idea that some people have. — leo
I think the third-person perspective gives rise to a lot of confusion though, because it gives the impression that what we say applies to everyone and everything, instead of simply to the people who share a given truth. And then people fight each other to prove that their truth is right and others are wrong, to make their truth prevail. If we stopped having that third-person perspective, I think there are a lot of things we could solve, a lot of problems that would disappear. We would listen more, and impose less. — leo
All boils down to a matter of willpower, which I have analyzed endlessly. People demand that the world change them, and in this sentiment, weakness is born. Quite Nietzscian. — Wallows
Do you then agree with the idea that truth is individual-dependent and not something that has independent existence? — leo
Cambridge dictionary defines truth as "the real facts about a situation, event, or person". Who gets to determine what the real facts are? If I say what the real facts are and others disagree, who is right? The same dictionary defines objective as "based on real facts". If we say that the real facts are determined through social consensus, then truth is a social consensus. — leo
Say what? You're defining "objective" as "whatever one is willing to accept"? — Terrapin Station
What would be an "objective justification" in general? — Terrapin Station
That's simply another way of effectively saying, "We're going to consider argumentum ad populums 'objective.'" — Terrapin Station