The very core of our perception is context sensitive. And we the believer of physical model of ‘the human’ and of course the believer of mathematics, can ask a question about this. [Before asking the question let me clarify one thing. That is the ‘belief’ part of mathematics. Yes, we have to believe in it! I mean if you say you are an advocate of mathematical reasoning and you don’t believe the Dedekind–Peano axioms, then ask your self: “actually, who are you bullshitting?” Ok, I understand here ‘believe’ is not like that religious beliefs. It’s fare more ‘cleaner’ and so-so…]
Now if you want a very interesting insight about the context sensitiveness of our cognitive process and its relation to perception you might like to watch this TED Lecture. here.
Ok, back to the point. We see that what we perceive, very much depends on the contexts of our observation and on the history of our perception about those contexts. So, previously when those ‘contexts’ were the subject of our observation, we had to learn it using our previous experience with some ancestral contexts. This way up to the very beginning of our existence we can build an ancestry of contexts!
And here comes the Strong Form of Mathematical Induction. And we ask, “Where is the base case?” Without a base case we can always prove “All horses are of the same color!” But in reality there are horses of many color and most of all, ‘we exist’! So, in the very beginning there must be some pre-installed ‘perception’, standing on which we start ‘perceiving and understanding’ everything.
Now, I give you the homework. Ask the question.:)
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