Proof Theory - Logics From Proof Analysis

Logics From Proof Analysis

Several important logics have come from insights into logical structure arising in structural proof theory.

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Famous quotes containing the words logics, proof and/or analysis:

    “When logics die,
    The secret of the soil grows through the eye,
    And blood jumps in the sun;
    Above the waste allotments the dawn halts.”
    —Dylan Thomas (1914–1953)

    “Ah! I have penetrated to those meadows on the morning of many a first spring day, jumping from hummock to hummock, from willow root to willow root, when the wild river valley and the woods were bathed in so pure and bright a light as would have waked the dead, if they had been slumbering in their graves, as some suppose. There needs no stronger proof of immortality. All things must live in such a light. O Death, where was thy sting? O Grave, where was thy victory, then?”
    —Henry David Thoreau (1817–1862)

    “The spider-mind acquires a faculty of memory, and, with it, a singular skill of analysis and synthesis, taking apart and putting together in different relations the meshes of its trap. Man had in the beginning no power of analysis or synthesis approaching that of the spider, or even of the honey-bee; but he had acute sensibility to the higher forces.”
    —Henry Brooks Adams (1838–1918)