time is the effect of our interaction with the physical world — Ikolos
Time is a series: Now (t=0) only exists because t=-1 had existence. t=-1 only exists because t=-2 had existence. So all moments must have a moment prior to them. The only topology that fits is a closed loop IE circular time. — Devans99
Infinity is not a quantity: infinity is a concept: as the infinity of skirts(if this be actual) would not be a skirt. In Logic infinity is defined presupposing a concept(i.e. of a set) as the cardinality of this set, in order to establish a hierarchal order on numerical sets(I.e. sets which contains numbers of limited properties). The ordinal infinity, instead, differentiates between finite and infinte sets, being infinity a property of a set, inasmuch it contains a number of elements such as no one is the bigger in regards to the operation which close that set(as you correctly indicate). You atre talking just of ORDINAL infinity. — Ikolos
So infinity is not a mathematical concept. — Devans99
When you acknowledge Actual Infinity is impossible, the start of time follows logically. — Devans99
That's impossible I'm afraid. Actual Infinity does not exist so negative Actual Infinity does not exist so past eternity does not exist (same structure). — Devans99
Actual infinity, if it existed, would be a quantity greater than all other quantities, but:
There is no quantity X such that X > all other quantities because X +1 > X
The non-existence of actual infinity implies negative actual infinity does not exist. Negative actual infinity has the same structure as past eternal (in time):
{ …, 2015, 2016, 2017, 2018 }
{ …, -4, -3, -2, -1 } — Devans99
∞ + 1 = ∞ implies
1 = 0 — Devans99
That helps to clarify where the differences lie between your position and that of others. That is a proposition that you regard as self-evident and that you take as an axiom. Others do not regard it as self-evident and do not accept it as an axiom. Unsurprisingly, different conclusions are reached depending on whether one accepts such an axiom.Every moment must have a moment before it else its not valid. That's a self-evident axiom — Devans99
Numbers reflect reality and they do not include infinity. — Devans99
It's meant to represent physical quantities — Devans99
so it should be physically constructible — Devans99
It would be pure magic if actual infinity exists so that's why it's not found in nature. — Devans99
What about all the paradoxes of infinity? Hilbert's Hotel for example. Utter madness. You can't really claim such a hotel could exist? — Devans99
You are the one with the irrational belief here. Infinity is magic. Burden of prove that it exists is on you — Devans99
From: numbers reflect reality and numbers exclude infinity you cannot conclude that reality excludes infinity — Ikolos
Claiming to be magic the «existence of actual infinity» it's just rethoric — Ikolos
explain CANTOR'S Hierarchy of infinities — Ikolos
Hence the universe is finite. — Devans99
Quantities cannot take on the value of a concept — Devans99
Something that goes on forever — Devans99
There is no hierarchy of infinities. — Devans99
The definition of infinity as the larger than anything else precludes more than one infinity. — Devans99
you have offered no proof that actual infinity exists. — Devans99
You keep intending infinity as a quantity and not as a relation. Infinity is the REASON why, for some operation, it is true that there will never be a result which would be THE BIGGEST/HIGHEST. It is not that one highest, insofar as unreachable, nor it is this (reificated) impossibility. — Ikolos
because we can not compute effectively all the tautologies in first order predicative logic — Ikolos
Relations don't exist in the real world, quantities do — Devans99
That's a potential infinity. Anything related to computers is potential rather than actual. Computers compute over time and have a finite memory capacity so cannot by definition deal with actual infinity. — Devans99
Actual Infinity was introduced into set theory for spiritual not logical reasons. Cantor was very devout and believed God was infinite. He thought the whole trans-finite nonsense was dictated to him by God! — Devans99
I think you keep confusing the RELATION which infinity is and the RESULTS of an operation, which are not infinite, but indefinite — Ikolos
It is irrelevant whether or not a computation rely on limited faculties, for an abstract method of compute infinitely many proposition there is: compute each single one. The problem is how to DECIDE among those INFINITE proposition those which are tautologies(entscheindigung problem). — Ikolos
Very true, but it is pathologic to deny that the application of transfinite reasoning brought to you ACTUALLY EXISTENT machines, and procured great advances in a large variety of fields in technology. — Ikolos
What operation with an indefinite result do you refer to? — Devans99
Just because there exists an 'infinite' number of something in our minds, does not imply an 'infinite' number of something is possible. Our minds are simply in error. The concept/relation of actual infinity does not translate to reality. — Devans99
Actual infinity (set theory) has not. The first reflects nature, the second does not. — Devans99
That's false. The first axiom of modal logic (axiom by Alfred Tarski) is: p→◇ p which means: if p is given, than it is possible that p. — Ikolos
That's false. Computer science is based on set theory. Classical mathematics is based on set theory after the development of mathematical logic. And, since you yourself(as anybody who is not insane) admit that classical math brought many results to as, especially in physics, for physics without math is a mythological novel, and since calculus is part of classical maths, it follows that Set theory brought as much as classical maths does, inasmuch this latter is based on the former — Ikolos
the set of naturals:
{1, 2, 3, 4, ... }
is partially undefined — Devans99
IE it is not defined so it can never have a cardinality and you can't treat it like a finite set. — Devans99
of course you can't treat natural numbers as a finite set, because it is not a finite set. — Ikolos
infinite sets. Partially defined. No cardinality. — Devans99
But maths tries too do this — Devans99
Maths tries to treat these two different object type the same which is an error. T — Devans99
thats all nonsense IMO. — Devans99
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