Wednesday, 27 September 2023

The "Deeper ‘Platonic’ Meaning" In The Path-Integral Approach Viewed Through Systemic Functional Linguistics

Penrose (2004: 670-1):
Indeed, the path-integral approach is, it seems, almost wholly dependent upon a faith that the wildly divergent expressions that we are presented with (like the divergent series above) actually have a deeper ‘Platonic’ meaning that we may not yet properly perceive. We appear to be forced to admit that something of this nature must be the case because, on the physical side, we are not infrequently presented with answers of uncanny physical accuracy when (if I may be permitted to conjure up an improbable-sounding metaphor) we bulldoze our way through the mathematics with great sensitivity and precision!


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From the perspective of Systemic Functional Linguistic Theory, the "deeper ‘Platonic’ meaning" of wildly divergent expressions in the path-integral approach is that the meaning they construe is potential.

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