Answering as the mathematician that I am, I have to say:
At the beginning of all mathematics there are axioms. They do not have a 'why', but they are just fixed. (Of course you can say, why fixing them and not something else, but this makes no sense because you also could fix the other things, you only might get different results).
Out of this axioms the complete mathematics is derived by proof ( there is the why and Logic answering this question).
If you choose other axioms you just create an other mathematics.
Thinking about your question in my way, this get's me to the interesting point: which axioms do I have defined in my life? Are these axioms maybe the things I believe in? The things we believe bear up against the question why, because you always can answer: because I believe it.
Looking further a christian, a muslim, a hindu and so on, have their god(s) as axiom, and this is why they proof everything on the basis of their axiom. Scripture-based religions also have their holy script as axioms, always taking the script for argumentation but never question it itself.
Normaly we put the belive that we are especially humans as axiom. There are people put the believe we are animals as axiom. There you can explain why, but beeing honest both explanations could have a cogent argumentation, such that in the end, everything adds up to what one belives, this is just scientific discourse.
There are so many examples...
At the beginning of all mathematics there are axioms. They do not have a 'why', but they are just fixed. (Of course you can say, why fixing them and not something else, but this makes no sense because you also could fix the other things, you only might get different results).
Out of this axioms the complete mathematics is derived by proof ( there is the why and Logic answering this question).
If you choose other axioms you just create an other mathematics.
Thinking about your question in my way, this get's me to the interesting point: which axioms do I have defined in my life? Are these axioms maybe the things I believe in? The things we believe bear up against the question why, because you always can answer: because I believe it.
Looking further a christian, a muslim, a hindu and so on, have their god(s) as axiom, and this is why they proof everything on the basis of their axiom. Scripture-based religions also have their holy script as axioms, always taking the script for argumentation but never question it itself.
Normaly we put the belive that we are especially humans as axiom. There are people put the believe we are animals as axiom. There you can explain why, but beeing honest both explanations could have a cogent argumentation, such that in the end, everything adds up to what one belives, this is just scientific discourse.
There are so many examples...
