“The symbol is the tool which gives man his power, and it is the same tool whether the symbols are images or words, mathematical signs or mesons.”

“Our environment may and should mean something towards us which is not to be measured with the tools of the physicist or described by the metrical symbols of the mathematician.”

Arthur Stanley Eddington (1882–1944) British astrophysicist

“Any civilization where the main symbol of religious veneration is a tool of execution is a bad place to have children.”

Charles Stross (1964) British science fiction writer and blogger

“The revolutionary artist is born into a world of clichés, of stale images and signs which no longer pierce the consciousness to express reality. He therefore invents new symbols, perhaps a whole new symbolic system.”

Herbert Read (1893–1968) English anarchist, poet, and critic of literature and art

“Letters are signs of things, symbols of words, whose power is so great that without a voice they speak to us the words of the absent; for they introduce words by the eye, not by the ear.”
Litterae autem sunt indices rerum, signa verborum, quibus tanta vis est, ut nobis dicta absentium sine voce loquantur. Verba enim per oculos non per aures introducunt.

Isidore of Seville book Etymologiae

“It will say that in peace we have time that a man has vision, has been fed, has worked..
.. That hands and minds and tools and material made a symbol to the elevation of vision”

David Smith (1906–1965) American visual artist (1906-1965)

“Whether looming over the land as a symbol of a ruler’s authority or providing a setting for displays of wealth and power in spectacular feasts and tournaments, castles made a visual statement about their owners. All ar chitecture has symbolic overtones, and the castle is a potent image.”

Marilyn Stokstad (1929–2016) art historian

“We can now return to the distinction between language and symbolism. A symbol is language and yet not language. A mathematical or logical or any other kind of symbol is invented to serve a purpose purely scientific; it is supposed to have no emotional expressiveness whatever. But when once a particular symbolism has been taken into use and mastered, it reacquires the emotional expressiveness of language proper. Every mathematician knows this. At the same time, the emotions which mathematicians find expressed in their symbols are not emotions in general, they are the peculiar emotions belonging to mathematical thinking.”

R. G. Collingwood (1889–1943) British historian and philosopher

“Mathematics is primarily a tool for human thought.”

William Thurston (1946–2012) mathematician

“Socrates: The shoemaker, for example, uses a square tool, and a circular tool, and other tools for cutting?
Alcibiades: Yes.
Socrates: But the tool is not the same as the cutter and user of the tool?
Alcibiades: Of course not. …
Socrates: Then what shall we say of the shoemaker? Does he cut with his tools only or with his hands?
Alcibiades: With his hands as well.
Socrates: He uses his hands too?
Alcibiades: Yes. …
Socrates: And does not a man use the whole body?
Alcibiades: Certainly.
Socrates: And that which uses is different from that which is used?
Alcibiades: True.
Socrates: Then a man is not the same as his own body?
Alcibiades: That is the inference.
Socrates: What is he, then?
Alcibiades: I cannot say.
Socrates: Nay, you can say that he is the user of the body.
Alcibiades: Yes.
Socrates: And the user of the body is the soul?
Alcibiades: Yes, the soul.”

Plato (-427–-347 BC) Classical Greek philosopher