Simple demonstrations of how structure and quantity are embedded in the world

As there seems to be resistance to the point that the world embeds structure and quantity (thus, mathematical features) I think it is useful to provide some simple reminders.

The Egyptian rope trick and the 3-4-5 Pythagorean triplet, thus a right angle forced through a numerical relationship (and note the power of the number twelve again):

Lego bricks demonstrating the Pythagorean relationship — notice, number theory connexions and the natural interpretation of “squaring”:

Also, notice a Mobius strip cutting exercise:

In none of these cases is the result dependent on our creating a mathematical model or an axiomatisation. The results are objective, factual, embedded in the world and in fact helped to constrain how Mathematical systems were axiomatised. END

In none of these cases is the result dependent on our creating a mathematical model or an axiomatisation. The results are objective, factual, embedded in the world and in fact helped to constrain how Mathematical systems were axiomatised. END

PS: Dr Tokieda’s lecture on Mobius strips (with demonstrations):

Lecture series, here.

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