aletheist

Logic generalized is semeiotic, the science of all signs--not just arguments, but also propositions and terms; and not just symbols, but also indices ...

:up:

That was indeed the medieval debate, but its modern manifestation is affirming the reality of generals in addition to the existence of individuals. Pe...

Completely wrong, denotation and signification are two different aspects of a sign, corresponding respectively to its object and its interpretant. Thi...

Again, this confuses denotation with signification. In any and every proposition about "Henry Fonda," we could substitute "the father of Peter Fonda" ...

The terminology here is incorrect--these two signs denote the same object, even though what they signify about that object is different.

You are right, my bad--but that is precisely why I maintain that mathematical objects cannot exist in the strict sense of reacting with other like thi...

No, I think that anyone who interprets the Planck length as a discrete constituent part of space is wrong. I interpret it instead as a limitation on t...

I agree, it is a hypothesis--one that I happen to find much more plausible than space consisting of discrete parts. I would say the same about time, w...

Well, the IVT is not valid in smooth infinitesimal analysis. As Bell states in his book that I suggested a while back, "the classical intermediate val...

Put another way, there are no real points or locations that she passes through, only the ones that we invent to describe her motion. Again, space does...

In itself, yes; but we can still "divide" it at will to suit our purposes. That is what I mean when I say that the whole is real and the parts are ent...

A one-dimensional line does not "contain" anything. We can mark it with as many zero-dimensional points as we can imagine, but those points are not pa...

Responses like this are why I rarely bother jumping into these discussions.

I obviously disagree. Again, a true continuum has no definite parts except those that we deliberately mark off within it for a particular purpose. It ...

No, this is a confusion of "infinitely divisible" with "infinitely divided." The former means potentially having infinitely many parts, while the latt...

There are varieties of mathematical realism other than Platonism. The fact that certain relations among phenomena hold regardless of what anyone think...

The issue is that if I click on the @ button while composing a post and type only a portion of his name, he does not show up in the list of options. E...

The consensus among Peirce scholars seems to be that SIA/SDG comes the closest among modern mathematical developments to capturing his notion of a tru...

I have not had the time, energy, or patience to jump into the substance of this discussion so far, but I can offer a couple of reading suggestions bas...

I disagree, everything that is physical occupies space, but space itself is not physical. I agree, but again, space is not an object that exists--some...

Sure, but space itself is not an object in that sense. It has no actual parts, only potential parts, and it is obviously not spatial in the same sense...

Since space is continuous, it has infinitely many potential parts, but its only actual parts are those that we create by marking them off. That is bec...

:up: Note that in @"Michael"'s examples, it is probable (96% chance based on available data about a random sample of Flemish college students) that Lo...

No, but I have explained it as well as I can at this point, and a dictionary will tell you the difference between "probable" and "plausible." Cheers!

Conceiving a hypothesis to explain past experience is not the same as testing that hypothesis against subsequent experience. Inferring that a white be...

Abduction is formulating a hypothesis, while induction is testing a hypothesis. Abduction offers a plausible explanation of a previously observed phen...

No, we falsify the hypothesis by observing a black swan. "If some swans are black, then not all swans are white" is deductively valid regardless of wh...

No, it is not necessarily false, it is contingently false--it is contradicted by experience, not logic. That is what makes it inductive, rather than d...

Again, abduction is formulating hypotheses, deduction is making predictions accordingly, and induction is testing those predictions against actual exp...

Abduction (or retroduction) is the formulation of an explanatory hypothesis, often prompted by a surprising observation. Deduction is the explication ...

Thanks for the citation. I posted some of my thinking that appears in the paper a while back in a thread on "The Reality of Time." Here is a link to a...

If you want to read Peirce's own writings, I would definitely start with the two volumes of The Essential Peirce. The tables of contents and introduct...

This is at best an oversimplification of the Christian doctrine of predestination, and there are significant differences in the details of the Calvini...

Yes, I find it misleading because it employs only one variable (A) rather than distinguishing between a subject (S) and a predicate (P) as attributed ...

In my experience, when people refer to Peirce's philosophy as "architectonic," they mean it in roughly the latter sense. IEP has a pretty good summary...

I offer two similar definitions given by Charles Sanders Peirce.

Thanks for the shout-out! I am actually fine with the quoted statement by @"fishfry"; I have consistently acknowledged that the real numbers are an ad...

If you need to understand intuitionistic logic better in order to argue against it effectively, how do you already know that you will want to argue ag...

No, the Planck system of units is an alternative to the SI system of units. The Planck length and the Planck time are derived from the speed of light ...

Apparently you did not come across the post where I pointed out that the only non-arbitrary units for measuring distance and time are the Planck lengt...

No, the definition of abstract is "not concrete." No, existence is not the only mode of being. No, reality includes existence but is not limited to it...

No, it does not mean that. Again, the mode of being of an abstract quality is essence, not existence. No, it does not mean that. Reality and existence...

The thread includes a lot more than definitions, and it is intuitionistic logic not intuitive logic. Again, "P" denotes an abstract quality. The mode ...

Rather than further repeating myself, I will refer you to my recent thread on "The Reality of Time." No one is arguing for the existence of infinite e...

Again, it is not necessary to break up the motion into a series of discrete steps, such that each "occurs one after the other." Getting to the wall is...

Again, I deny the reality of instantaneous states of things. The minimum of real time is an indefinite moment, and an event can only be realized at a ...

Well, I reject that definition, as well as the underlying assumption that time is composed of instants. An event is a change from one state of things ...

A prolonged state of things, such as what "S is P" or "S is not-P" signifies, is realized at any and every arbitrary instant within a certain continuo...

Right, it means that the concrete thing denoted by "S" is indeterminate with respect to possessing or not possessing the abstract quality denoted by "...