math is absolute
Debate Rounds (5)
Sure 1 + 2 is absolutely 3.
But that's only within the language. To take your example of stones, those three stones are not exactly equal. Yet within the language they are all represented with the number 1, exactly the same.
Humans have defined the meaning of the symbols 1, +, = and 3.
So within that system, assuming the generally accepted meaning of those symbols 1 + 1 = 3 is incorrect.
Math is not about 'truth', we can use it to formulate statements representing our understanding of reality.
Those statements can be correct, incorrect or not even make sense.
G"del proved that in any logical system that is useful you can make illogical statements.
The simplest one is:
p = !p
p: Any logical statement
=: Both sides are the same
!: The opposite statement
In English this means:
statement is the same as the opposite of statement
This can never be resolved logically, so even while following the mathematical rules you can make nonsense statements.
i dont know what you mean by the opposite of statement
- !3 means any number except 3.
- if statement 'p' is the statement 'I am 25' then '!p' is the statement 'I am not 25'
'you cant make illogical statements from knowldge'
I just gave you an example of an illogical statement in math, we haven't even gotten to knowledge. People make illogical statements all the time, sometimes on the basis of incorrect knowledge and sometimes on purpose. I don't understand where you get the notion that this would be impossible.
'you need imagination'
I don't know that, but it could be true. What does it matter? Everyone has imagination anyway.
'as there is no logic in fantasy'
Where did you get this? We often use fantasy to make predictions about reality and what might happen when we behave in certain ways. Sure fantasy allows us to ignore logic, but if we are using it to make predictions about the future, why would we?
math is true or false, not truth.
there can be no illogical statement from knowledge, there is no supernature in the past.
predictions are false, im not really talking about predictions as they are false by default
Roodvlees forfeited this round.
I am of a certain age, there is an absolute truth there. The problem is in finding out what that truth is, we humans are not perfect, thus we cannot trust absolutely that we have found that truth.
Reality is continuous not discrete, like math often is.
Ex: I'm not exactly 25 years old, but a few months more and that increases all the time. So while saying "my age is 25" is not absolutely true, even though it's good enough for normal conversation.
Also we are limited in our ability to measure nature, so we divide everything into discrete boxes that we are able to measure.
"math is true or false, not truth"
Not all math statements can be resolved into true or false (or a number).
The example I gave you of p = !p cannot be resolved.
This is a huge problem, as a computer programmer I'm keenly aware of this, because it means we cannot be certain a computer program will work. There's rockets of billions of dollars who turned around in flight instead of going to the moon (or whatever), because the computer program made an error. Really if all math statements could be resolved things would be a lot better.
"there is no supernature in the past."
What do you mean by supernature?
"predictions are false, I'm not really talking about predictions as they are false by default"
Math can be used to make predictions, I'm talking about expressions of understanding.
Know can be about the past, present or future.
It seems like you are trolling me.
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