We must say that there are as many squares as there are numbers.
Galileo GalileiRead
It has always seemed to me extreme presumptuousness on the part of those who want to make human ability the measure of what nature can and knows how to do, since, when one comes down to it, there is not one effect in nature, no matter how small, that even the most speculative minds can fully understand.
Interpretation
This quote suggests that human understanding is limited and cannot fully encompass the vastness of nature's complexities.
Galileo Galilei's quote reflects the humility we should have regarding our understanding of nature. He emphasizes that despite human intelligence and creativity, there are aspects of the natural world that remain beyond our comprehension, and thus, it is presumptuous to measure nature by our own limited abilities.
In practice
In a discussion about the limits of human knowledge in a science class.
We must say that there are as many squares as there are numbers.
Science proceeds more by what it has learned to ignore than what it takes into account.
The sun, with all those planets revolving around it and dependent on it, can still ripen a bunch of grapes as if it had nothing else in the universe to do.
Philosophy is written in this grand book, the universe, which stands continually open to our gaze. But the book cannot be understood unless one first learns to comprehend the language and read the letters in which it is composed.
That sculpture is more admirable than painting for the reason that it contains relief and painting does not is completely false. ... Rather, how much more admirable the painting must be considered, if having no relief at all, it appears to have as much as sculpture!
To command their professors of astronomy to refute their own observations is to command them not to see what they do see and not to understand what they do understand.
We are only what we are in the dark; all the rest is reputation.
And why is it, thought Lara, that my fate is to see everything and take it all so much to heart?
I saw that philosophy had no power to make my life more bearable. Thus I lost my belief in philosophy.
The body politic, as well as the human body, begins to die as soon as it is born, and carries itself the causes of its destruction.
To believe that will has power over potentiality, that the passage to actuality is the result of a decision that puts an end to the ambiguity of potentiality (which is always potentiality to do and not to do) — this is the perpetual illusion of morality.
The human body is always treated as an image of society.
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