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Single Idea 24023

[filed under theme 26. Natural Theory / A. Speculations on Nature / 4. Mathematical Nature ]

Full Idea

I have discovered that all the sciences which have as their aim the search for order and measure are related to mathematics.

Gist of Idea

All the sciences searching for order and measure are related to mathematics

Source

René Descartes (Rules for the Direction of the Mind [1628], 04)

Book Ref

Descartes,René: 'Rules for the Direction of the Mind' [Newcomb Library 2023], p.16


A Reaction

Note that he sound a more cautious note than Galileo's famous remark. It leaves room for biology to still be a science, even when it fails to be mathematical.


The 19 ideas from 'Rules for the Direction of the Mind'

One truth leads us to another [Descartes]
If we accept mere probabilities as true we undermine our existing knowledge [Descartes]
We all see intuitively that we exist, where intuition is attentive, clear and distinct rational understanding [Descartes]
Our souls possess divine seeds of knowledge, which can bear spontaneous fruit [Descartes]
The method starts with clear intuitions, followed by a process of deduction [Descartes]
All the sciences searching for order and measure are related to mathematics [Descartes]
The secret of the method is to recognise which thing in a series is the simplest [Descartes]
Clear and distinct truths must be known all at once (unlike deductions) [Descartes]
The force by which we know things is spiritual, and quite distinct from the body [Descartes]
Nerves and movement originate in the brain, where imagination moves them [Descartes]
Our four knowledge faculties are intelligence, imagination, the senses, and memory [Descartes]
When Socrates doubts, he know he doubts, and that truth is possible [Descartes]
Among the simples are the graspable negations, such as rest and instants [Descartes]
3+4=7 is necessary because we cannot conceive of seven without including three and four [Descartes]
Clever scholars can obscure things which are obvious even to peasants [Descartes]
Most scholastic disputes concern words, where agreeing on meanings would settle them [Descartes]
Unity is something shared by many things, so in that respect they are equals [Descartes]
I can only see the proportion of two to three if there is a common measure - their unity [Descartes]
If someone had only seen the basic colours, they could deduce the others from resemblance [Descartes]