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As lines, so loves oblique may well
Themselves in every angle greet;
But ours so truly parallel,
Though infinite, can never meet.
--
Stanza 7.

 

Andrew Marvell

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The classical theorists resemble Euclidean geometers in a non-Euclidean world who, discovering that in experience straight lines apparently parallel often meet, rebuke the lines for not keeping straight—as the only remedy for the unfortunate collisions which are occurring. Yet, in truth, there is no remedy except to thro over the axiom of parallels and to work out a non-Euclidean geometry.

 

John Maynard Keynes

 

Though Seas and Land betwixt us both,
Our Faith and Troth,
Like separated soules,
All time and space controules:
Above the highest sphere wee meet
Unseene, unknowne, and greet as Angels greet.

 

Richard Lovelace

 

Nothing is that which fills no space. If one single point placed in a circle may be the starting point of an infinite number of lines, and the termination of an infinite number of lines, there must be an infinite number of points separable from this point, and these when reunited become one again; whence it follows that the part may be equal to the whole.

 

Leonardo da Vinci

 

Science, as the positivist understands it, is susceptible of infinite progress. That you learn in every elementary school today, I believe. Every result of science is provisional and subject to future revision, and this will never change. In other words, fifty thousand years from now there will still be results entirely different from those now, but still subject to revision. Science is susceptible of infinite progress. But how can science be susceptible of infinite progress if its object does not have an inner infinity? The belief admitted by all believers in science today — that science is by its nature essentially progressive, and eternally progressive — implies, without saying it, that being is mysterious. And here is the point where the two lines I have tried to trace do not meet exactly, but where they come within hailing distance. And, I believe, to expect more in a general way, of people in general, would be unreasonable.

 

Leo Strauss

 

Canst thou see God as the bodiless Infinite and yet love Him as a man loves his mistress? Then has the highest truth of the Infinite been revealed to thee. Canst thou also clothe the Infinite in one secret embraceable body and see Him seated in each and all of these bodies that are visible and sensible? Then has its widest and profoundest truth come also into thy possession.

 

Sri Aurobindo