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Rationality is not an inscribed property but rather a natural consequence of observing the order in place. For example, the table of elements expresses the pro

Rationality is not an inscribed property but rather a natural consequence of observing the order in place. For example, the table of elements expresses the properties of integers as inherent to reality. As such, it is rational and rationally-ordered. This is not so much “philosophy” as it is “logic”, it is the conclusion of philosophy and mathematics and the subsequent origin of the computational reality.

j7ake 3y ago
Poor logic here. Listing examples of apparent order in universe does not prove that the universe is rational.
- mensetmanusman 3y ago
  If you believe logic and rationality exist, and you believe that you are part of the universe, then the universe is rational, because you are the universe being rational.
  - lostmsu 3y ago
    Then I propose that you are shit because just before you pooped shit is part of you.
defrost 3y ago
One of the distinctive properties of integers is that there are at least 200 of them. Oh, and some of them (either nearly or exactly half) are negative. The table of elements falls a little short here.
- Turing_Machine 3y ago
  > Oh, and some of them (either nearly or exactly half) are negative. Well, it doesn't quite work that way. Yes, you can put the negative integers in 1:1 correspondence with the positive integers, but you can also put them in 1:1 correspondence with the positive integers that are divisible by 2, or 3, or 3,000... or, for that matter, the negative integers that are divisible by three thousand. All of those sets have the same cardinality (often called "countably infinite"). There are, however, provably more real numbers than there are integers. It is unknown whether there are any sets whose cardinality lies between the cardinality of the set of integers and the cardinality of the set of real numbers.
  - defrost 3y ago
    Bait taken I see :) Hands up anyone who hasn't considered a stay at the infinite hotel. https://en.wikipedia.org/wiki/Hilbert%27s_paradox_of_the_Grand_Hotel https://en.wikipedia.org/wiki/Hilbert%27s_paradox_of_the_Gra...
  - Tainnor 3y ago
    There is a sense in which the even integers can be considered "half" of all the integers: https://en.m.wikipedia.org/wiki/Natural_density https://en.m.wikipedia.org/wiki/Natural_density "Counting stuff" can be generalised to infinite sets in different ways: cardinality is one (arguably the most common) of them, but natural density or measure are others.

j7ake 3y ago

Poor logic here. Listing examples of apparent order in universe does not prove that the universe is rational.

mensetmanusman 3y ago
If you believe logic and rationality exist, and you believe that you are part of the universe, then the universe is rational, because you are the universe being rational.
- lostmsu 3y ago
  Then I propose that you are shit because just before you pooped shit is part of you.

defrost 3y ago

One of the distinctive properties of integers is that there are at least 200 of them. Oh, and some of them (either nearly or exactly half) are negative. The table of elements falls a little short here.

Turing_Machine 3y ago
> Oh, and some of them (either nearly or exactly half) are negative. Well, it doesn't quite work that way. Yes, you can put the negative integers in 1:1 correspondence with the positive integers, but you can also put them in 1:1 correspondence with the positive integers that are divisible by 2, or 3, or 3,000... or, for that matter, the negative integers that are divisible by three thousand. All of those sets have the same cardinality (often called "countably infinite"). There are, however, provably more real numbers than there are integers. It is unknown whether there are any sets whose cardinality lies between the cardinality of the set of integers and the cardinality of the set of real numbers.
- defrost 3y ago
  Bait taken I see :) Hands up anyone who hasn't considered a stay at the infinite hotel. https://en.wikipedia.org/wiki/Hilbert%27s_paradox_of_the_Grand_Hotel https://en.wikipedia.org/wiki/Hilbert%27s_paradox_of_the_Gra...
- Tainnor 3y ago
  There is a sense in which the even integers can be considered "half" of all the integers: https://en.m.wikipedia.org/wiki/Natural_density https://en.m.wikipedia.org/wiki/Natural_density "Counting stuff" can be generalised to infinite sets in different ways: cardinality is one (arguably the most common) of them, but natural density or measure are others.