I am only vaguely familiar with Plantinga's approach, but the discussion and examples so far remind me of the non-foundationalist pragmatism of Charle...
Peirce makes another helpful distinction between an event as a definite and entire change vs. a state of change as "indefinitely gradual"; i.e., stric...
Eternity usually means timelessness, or perhaps infinite time. I still see no connection with incompleteness and incomputability. Not in this thread, ...
I still do not see what those mathematical results have to do with "the concept of time and eternity." Sorry, I do not understand this sentence. Thank...
From a metaphysical standpoint, Charles Sanders Peirce drew a helpful distinction between reality and existence. The real is that which is as it is re...
Could you please summarize what you have in mind as "the concept of time and eternity from Gödel (self-reference), and Turing," as well as "the parado...
No, that is not how "proposition" and "axiom" are typically defined in logic and philosophy. There are all kinds of true propositions, only a few of w...
Understood, and people do routinely use "fact" as a synonym for "true proposition." I just find it helpful to maintain a careful distinction between a...
I propose instead: A fact is the state of things that is signified by a true proposition. A proposition is traditionally defined as a sign that can be...
How would you know? You have not demonstrated any familiarity with his voluminous writings. Nonsense. As usual, bare assertion with no basis in fact. ...
Thanks for confirming that you have no idea how building design and construction actually work. History demonstrates otherwise, as @"fishfry" has poin...
I happen to be a practicing structural engineer. What might not be obvious to you and others is that a structure is always designed first, followed by...
The Republicans in the room were not allowed to call any witnesses of their own, and were restricted in their questioning of the witnesses who did app...
Nothing, but that is not what you said. There were witnesses for the House impeachment--although only certain ones that the Democrats wanted, and many...
Impeachment is supposed to be a rare and serious matter. Gathering evidence to support taking such action is the responsibility of the House of Repres...
Not really, it is a direct quote from the text itself. The Senate has the exclusive power to determine what qualifies. Of course not; but in my opinio...
Too many people are still conflating impeachment with conviction/removal. Arguably a simple majority of the House of Representatives can impeach any f...
It is consistent with Peircean pragmatism in the sense that one's purpose dictates how one formulates the hypothetical state of things to be explicate...
As applied to mathematics, yes. Charles Peirce adopted his father Benjamin's definition of it as the science that draws necessary conclusions about hy...
I am just pulling these out to highlight them as excellent observations. After all, Peirce--the founder of pragmatism--was decidedly non-foundationali...
Just a guess, but I would imagine that one typically becomes a constructivist in the first place for primarily philosophical reasons--e.g., dissatisfa...
No, the whole point of talking about "true continuity" is to distinguish it from (analytical) "continuity" as defined in accordance with standard set ...
The only reality that we can know is what we learn from experience. We formulate hypotheses to explain our experience (retroduction), work out their n...
Here is one especially succinct argumentation from Peirce. It then follows from the first sentence that since the present is not an instant, there is ...
Line figures, surfaces, and solids can be understood in geometry as truly continuous. We use points to model and analyze them, but they are not compos...
Not sure about Aristotle, but Peirce indeed explicitly rejected the notion that continuous time is somehow composed of durationless instants. They are...
Introducing numbers already imposes discreteness. Numbers are for measuring, they cannot constitute a truly continuous line. No, again, a line is not ...
A set is a bottom-up conception, assembling a whole from discrete parts. True continuity is a top-down conception, such that the whole is more fundame...
The Peirceans who are not on this forum, for starters; but it goes back at least as far as Aristotle, who recognized that numbers of any kind are intr...
Combinations, not permutations; i.e., the different proper subsets, and the order of the members does not matter. For a set with n members, its power ...
None of those dictate the peculiar metaphysical definitions that you insist on imposing for terms like "existence" and "object," even in the context o...
That explains a lot. Why should I (or anyone else) accept the constraints of your peculiar language? How could you ever make such a determination, giv...
No, I am not a platonist; I am not claiming that abstractions exist in the ontological sense. Why keep insisting otherwise? No, some symbols are subje...
Incommensurability does not preclude (mathematical) existence. Our inability to measure two different objects (abstractions) relative to the same arbi...
They do represent objects--abstractions, not existents. On the contrary, this is Semeiotic 101--in a proposition, the subjects denote objects, and the...
Again, I do not hold than there is such a thing as "an abstraction existing as an object." I reject your peculiar terminological stipulation that an "...
Again, your peculiar metaphysical terminology is not binding on the rest of us. Apparently not--an object is whatever a logical subject denotes, which...
Indeed, that would be mathematical platonism, as I have acknowledged. However, I am not a mathematical platonist--I have quite explicitly denied that ...
Perhaps in metaphysics/ontology, but definitely not in mathematics. I have already done so, repeatedly. Perhaps in metaphysics/ontology, but definitel...
Wow, this keeps getting more and more ridiculous. No one is claiming that mathematical existence has anything to do with "existing substance." In math...
No, it is the study of being, which is not necessarily synonymous with existence. For example, one view is that ontological existence (i.e., actuality...
By insisting that moments/states are "undefined" otherwise. Time is not composed of days. A day is an arbitrary unit of duration that we use to mark a...
You cannot prove that time has a start by assuming that time has a start. Besides, if every moment has a preceding moment, then time cannot have a sta...
Mathematicians and philosophers of mathematics, with the presumed exception of platonists, reject the premiss that all "existence" is ontological exis...
Non sequitur; having no initial moment/state does not entail having no "defined" moments/states (whatever that means), unless we add the question-begg...
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