[Avodah] Chazal are Infallible

[Rich, Joel]

I was particularly struck by the tosafot, especially on 8a s.v. kama,
which brilliantly (via an example of filling an area with strings which
are then cut and re-arranged) proved certain relationships between
squares and circles.  However, the basic issue of area and spatial
relationships are known to any high school freshman (if not earlier)
based on rudimentary equations of pi, x-squared, and the Pythagorean
theorem, which were obviously unknown to Rashi, Tosafot, and likely many
views of the gemara as well (see e.g. 8b).

SLK
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I was wondering about hafoch bah in this context. Is it possible that at
one time all knowledge was attainable through Torah mesorah but at some
point that mesorah was lost, or is kulah bah not to be taken literally?
KT
Joel Rich
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