Janus

:up: :cool:

I have long thought that mathematics is both invented and discovered. If it is embedded in the human understanding of nature, then that is an existent...

Physics itself would not be possible without mathematics. If, as you agree, it is not the task of physics to find out what nature is, but rather to pr...

Right, so a generic concept is the concept of a class of things which share some salient similarities, a class of species. You haven't said what you t...

It seems to me that maths, based on number, is grounded in immanent phenomenology. We encounter diversity, difference and similarity, everywhere.

What is the difference between a universal concept and a generic concept? You are talking about math as an aid to science, right...can you give me an ...

That leaves me wondering what you think thinking or intuition is, other than exercising the imagination.

Numbers are abstract entities, concepts...they are abstracted from number which is concretely instantiated in the material world. It is no different t...

How do people arrive at metaphysical conjectures if not via imagining them?

This is exactly what I've many times said to you, arguing against your Platonic notion of numbers.

Presumably the only exponents of propositional knowledge we know of are humans, since propositional knowledge requires symbolic language. I also disti...

Well, human knowledge is the only knowledge we actually enjoy; animal knowledge we can infer from animal behaviors, and from studying their perceptual...

Right, and I think that is because most of the human stuff is also just robotically imitative.

I have no argument with any of what you've said there, except I would not frame the background as a matter of belief, but as a matter of being, more a...

The notion of knowledge being contaminated or distorted by human subjects seems absurd given that we are speaking about human knowledge. So, what coul...

Looks like AI has a Kitch sensibility. It all seems like tasteless crap to me.

How can they be consistent if they don't yield the same results. No, I wasn't referring to gibberish. All that seems irrelevant. I may be missing some...

This is a point that often seems to lead to confusion. Take, for example, modern geology; there is no need to take the observer into account in the th...

What other "strange rule" have I been using? Basic arithmetical procedures are simply the infinite iterability of addition and subtraction, and the fa...

Arbitrary rules like quaddition do not yield reliably workable results, or at least I haven't seen anyone showing that they can. The logic of addition...

Again. I'm not clear on what it would mean for a rule to be objectively true or false. So, do you mean that Kripke has shown that the idea of objectiv...

Oh, OK, I would say that is uncontroversial. Judging from the ordinary understanding of basic arithmetic and logic I would say their results are self-...

I would say that the only intuitively self-evident truths are logical or mathematical, and I don't see that as being merely a subjective matter. I don...

My only point was that the logic of +1 and its concatenations is the conceptual basis of counting and arithmetic, and that its ability to serve practi...

I think it is arguable that nearly all humans find counting and the basic arithmetical operations intuitive, so it's not arbitrary, Mathematicians hav...

But do they yield answers that are pragmatically workable? Counting is intuitive to humans and apparently some animals. I doubt there are sentient bei...

I don't think it is true that the same outcomes as addition could be achieved using some other set of rules or concepts "to make it work". I see no re...

It is natural simply because we can intuitively get the logic once we have our attention drawn to, and become familiar with, its basics. We can apply ...

As stipulated the rules of quaddition do provide different outcomes: Addition gives "125' and quaddition gives "5". Which one is correct? Imagine ther...

We don't feel the effort or the ease of the ass in the same way we feel our own, but that feeling of our own ease and effort in action or at rest is p...

I don't believe arithmetic to be merely rule following, but I think it is something we get intuitively on account of its being naturally implicit in c...

Sure, when we are aware we feel our body acting, moving and we feel the ease or the effort. We can act and be completely unaware of it, though. When w...

OK, so what exactly am I misunderstanding?

Yes, I agree with that. We can act without being aware of acting and we can also act with awareness.

I think 'beliefs' which carries the connotation of judgement is a less apt way of talking about the primordial (animal) features of human experience t...

For me it seems misleading to refer to the background, consisting of those things which are necessarily involved in our everyday lives. like hands, fe...

I think the salient question is not whether you know you are acting, but whether the awareness that you are acting is immediate, or whether it is medi...

I'm not convinced those premises are true. I mean I think it is fair to say, thinking about it one way, that nothing is known non-mediately, and from ...

Counting starts with concrete objects and then becomes possible in the abstract with the advent of numerical symbols. Quaddition seems to arbitrarily ...

I don't believe that know-how can always be translated into a determinate know-that. And any such translation will always be an abbreviation, a reduct...

Right, I also recognize a distinction between knowing-how and knowing-that.

If all knowledge of action is mediated by neural processes, then we may well all be mistaken in thinking that we possess non-mediated knowledge of our...

I have been talking specifically about synthetic a priori knowledge of what is intrinsic to embodied experience: spatiotemporality, differentiation an...

Well, we see things very differently, and for that I would say, there is no antidote. You keep mentioning objectivity, which has nothing to do with wh...

Natural concepts are those which inevitably evolve out of experience like space, time, number, difference, similarity, causation, constitution, form, ...

If you have four piles of four objects then you have sixteen objects, three piles of three objects then you have nine, two piles of two objects you ha...

My point in making that distinction was that some concepts, like counting and addition come naturally, and other concepts like quaddition are arbitrar...

Of course I agree that arithmetic is more complicated than counting, all I've been saying is that it is basically counting. It is the symbolic languag...

Not really, I think it is literally true that we are being created moment by moment—until we are not. We do not create ourselves. We don't even know w...

Yes, and there can be no disembodied brain, or brain in isolation from environment. We are blind to the worldly process of construction, so it is not ...