Re: The modern mathematical concept of infinity is indefensible

Tonicopm@xxxxxxxxx wrote:

On Jan 26, 10:22 am, Han de Bruijn <Han.deBru...@xxxxxxxxxxxxxx>
wrote:

Virgil wrote:

In article
<fdc29d2c-cbdb-4940-9f1c-fd2e4e6c4...@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
umum...@xxxxxxxxx wrote:

On 25 jan, 00:43, David R Tribble <da...@xxxxxxxxxxx> wrote:

Mitch Harris wrote:

I don't see how they are different. We can work with representations
('-a + a = 0', 'oo + 1 = oo', or we can work with the ideas
(negatives, where a number plus its negative is zero, orinfinity,
where adding 1 toinfinityresults ininfinity). I don't think one can
show a physicalinfinityand I think that's what you're saying (on the
other hand I think -I- can) but I also think you can similarly not do
it for negatives. (hm...I think I can do that too)

Han de Bruijn wrote:

It's freezing: minus 9 degrees centigrade. Right ?

Ralf Bader wrote:

Wrong. Bad temperature scale.

Han de Bruijn wrote:

Suppose you have minus 500 Euro on your bank account ?

Then you owe someone 500 Euro.
So I guess -9 C outside means someone is owed 9 degrees.

Unless your thermometer is written in Fahrenheit.

What was the temperature of the Universe just before the Big Bang?

There hasn't been a Big Bang.

How can you be so sure? The best scientific theorists cannot exclude it,
so how can you.

The Big Bang would start with a singularity, right ? Well, let me tell
you that there ARE NO singularities in Nature. Natura non facit saltus.

== The pope HdB has decided: there are no singularities (whatever
those things are) in nature. Period!
But...why? Well, I bet because of the same reason he's decided set
theory is wrong: his guts told him.
Okee-dokee....gotcha.

Think whatever you want, but you can not deny that HdB's behaviour is
nothing but CONSISTENT through time. If one is denying the existence of
actual infinity, as HdB does, then the existence of singularities MUST
be denied as well. Because the latter contain infinities. Consequence
is also that the Big Bang theory cannot be valid within this framework.

See ? (Ultra)finitism has quite some consequences !

Han de Bruijn

.

Relevant Pages

  • really twice displayed
    ... is an infinity in number. ... We know then the existence and nature of the finite, ... has neither extension nor limits. ...
    (sci.crypt)
  • plenty of retailers alone experience the nineteenth-century nation
    ... as between unity and infinity. ... The justice of God must be vast like His compassion. ... We know that there is an infinite, and are ignorant of its nature. ... We know then the existence and nature of the finite, ...
    (sci.crypt)
  • Re: The modern mathematical concept of infinity is indefensible
    ... existence of actual infinity, as HdB does, then the existence of ... By "consistent", you mean circular. ... You claimed that the reason infinity should not occur in math is that ... So how do you know that infinity does not occur in nature? ...
    (sci.math)
  • Re: Some basic set theory questions
    ... with me that getting the existence of the empty set from ... using infinity. ... This debate concerns whether the Axiom of Infinity is ... required to prove that the empty set exists. ...
    (sci.math)
  • Re: Paths
    ... under the premise that infinity "exists" in order to prove that it ... is not in the tree. ... leads to a contradiction (i.e. conflicting with previously specified ... Even if so an invalid does not "disprove" its existence. ...
    (sci.math)
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