Logic is figure without a ground.

 

Logic is figure without a ground.

 

Marshall McLuhan

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Hypnotized by their rear-view mirrors, philosophers and scientists alike tried to focus the figure of man in the old ground of nineteenth-century industrial mechanism and congestion. They failed to bridge from the old figure to the new. It is man who has become both figure and ground via the electrotechnical extension of his awareness. With the extension of his nervous system as a total information environment, man bridges art and nature.

 

Marshall McLuhan

 

The task confronting contemporary man is to live with the hidden ground of his activities as familiarly as our literate predecessors lived with the figure minus ground.

 

Marshall McLuhan

 

In Chinese, honesty is the figure of a man standing, physically standing, beside his work. That means honesty: a man stands by his work. Two things: figure / ground.

 

Marshall McLuhan

 

Not knowing what one is looking for is pure agony. Too much analytical thinking, too much logic, too many meanings! Life has no logic, so why does there have to be logic to explain what it means? Also, what is logic? I think I may need to break away from analytical thinking; this is the cause of all my anxieties.

 

Gao Xingjian

 

So much of modern mathematical work is obviously on the border-line of logic, so much of modern logic is symbolic and formal, that the very close relationship of logic and mathematics has become obvious to every instructed student. The proof of their identity is, of course, a matter of detail: starting with premisses which would be universally admitted to belong to logic, and arriving by deduction at results which as obviously belong to mathematics, we find that there is no point at which a sharp line can be drawn, with logic to the left and mathematics to the right. If there are still those who do not admit the identity of logic and mathematics, we may challenge them to indicate at what point, in the successive definitions and deductions of Principia Mathematica, they consider that logic ends and mathematics begins. It will then be obvious that any answer must be quite arbitrary.

 

Bertrand Russell