On 02.01.2013 21:01 meekerdb said the following:
On 1/2/2013 10:34 AM, Evgenii Rudnyi wrote:
A nice quote from Galileo by John L. Heilbron that shows:

1) One could trace the falsifiability to Jesuits of Galileo's
time.

2) It could be a link between falsifiability and theology.


p. 318 ‘However, false is not useless. The motion supposed by
Copernicus can be employed in calculations,

The Copernican model was less accurate than the Ptolemaic one.  It
wasn't until Kepler and elliptical orbits that the heliocentric model
 became superior for celestial predictions.

I guess, the advantage of the Copernican system was not the accuracy but rather relative simplicity. In my understanding it was easier to use the Copernican model for practical needs.

By the way, Galileo did not like elliptical orbits. First, it did not fit his world view: according to Galileo, an orbit of a planet must be circular. Second, Kepler was a Protestant and a good Catholic at Galileo's time was sure that Protestants were always wrong.

and might even be useful to the faith if mathematicians emphasized
 their falsity along with their utility. Here Inchofer had in mind
the minor truth later rediscovered  by Karl Popper: “mathematicians
 [should] … work more and more toward trying to falsify theories
rather than to defend them“.

This seems confused.  Mathematicians prove theorems from axioms -
they don't have theories that can be falsified.  At worst they may
think a proof is valid when it's not.  He must have been using
"mathematician" carelessly to mean scientist.

At Galileo's time, there were philosophers and mathematicians. A philosopher was simultaneously a physicist (physicists as such did not exist). Mathematicians have been paid much less as philosophers. Galileo at the end of his career was rather an exception.

One of the main results of Galileo was bringing mathematics and physics together (as according to Galileo, The Lord has created the world according to the laws of mathematics).

By the way, according to Prof Peterson, mathematical physics has started with Galileo's paper about the Inferno

Two Lectures to the Florentine Academy
On the Shape, Location and Size of Dante’s Inferno
by Galileo Galilei, 1588
https://www.mtholyoke.edu/courses/mpeterso/galileo/inferno.html

Evgenii

Brent

I don't know if God exists, but it would be better for His
reputation if He did not. --- Jules Renard


To this anticipation of modern epistemology Inchofer added a pinch
of ancient wisdom, Urban’s Simple in the words of the Preacher: “no
man can find out the work that God maketh from beginning to end.”‘

Evgenii


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