The idea of ‘Infinity’ has long attracted the mathematically adventurous. And the philosophically credulous.
‘Infinite Regress’? A term coined to suggest its user needs serious psychiatric help. The resolution of the Self-Eating Expression is ‘Infinite Regress’ in its most militant form.
The always effective threat of the Preacherman that brings the obdurate to their knees: ‘Thou shalt fry for all Eternity’ [Infinity on a Time-Axis].
Have you ever had the compelling desire to fly faster than Light? Yes? We’ll, you can’t do it.
And why can’t you do it? The folks who worked out the Theory of Relativity found that as you approach the speed of Light, the amount of energy needed to move you [or for that matter, a single electron] ‘Tends to Infinity’.
[Careful now. Close the curtains, make sure no light enters the room when reading the speed-meter you have set-up to measure the speed of light. Else thing can get loopy, seriously circuitous.]
While you snuggle into the empty space of a vacuum tube [‘Tends to Zero’], enthusiastic Scientists are vigorously seeking a ‘Theory of Everything’. Any such theory, by that very fact, invalidates itself.
The Loop sneaks in here as always and at various levels. Einstein’s seminal insight, never fully appreciated, was that Time is defined by the movement of a hand on a clock.
This was a radical grounding observation given how until then philosophers and scientists had talked of Time in vague, untestable and poetic abstractions. Space analogously is a measure of distance on a scale.
When the grounding is lost and the hard-physicist is let loose we get such outrageous themes as Time-Travel and such. I recall sitting in on a video of Stephen Hawkins going on about it with graphs and equations. I waited for the location of the Observer. It never came. I think I left before he finished the lecture.