Logic is the art of structuring tautologies. In proving hypotheses, we trust our intuition, but we are trained to look out for contradictions, so that, for example, our universal statements do not run into any counter-example that will bring our argument down. Our intuition is not completely reliable, so this is not always a smooth process. Contradictions, or even the slightest hint of one, will render us uneasy, destroying part of our hope, and setting us back for a moment. But we forge ahead, because our intuition tells us to. What we can do is check that at each step we do not make any blunders or miss out any possible contradictions, until we prove our hypothesis to be categorically true. The journey is long and uncertain, like that of sea explorers of the past sailing in search of a new land, sometimes encountering a bad storm, and at other times spotting in the distance a flock of birds, which may, or may not, hint at the approach of land.
Love, perhaps coincidentally, is a structure of tautologies. We hear them only too often: “I love you forever”, “You are the only one I need” and so forth. The proof of love, however, is its endurance, and the journey to this destination is much like the arduous march to a final, rigorous mathematical proof; it is long and uncertain. We continually trust our intuition, but when we encounter events that go so far as to hint at the tiniest rift, time seems to halt for a moment, and we are set back. There are the dark, bitter storms; but there are also hopeful dusks where birds fly home towards land in the orange glow of a beautiful sunset. Amidst the uncertainty, we forge ahead, because our intuition tells us to; in fact, our intuition is the only thing we cling on to. We observe around us for signs that may tell us things, but still, we look further ahead and keep alive in our imagination that thing that we ultimately desire, the final destination: eternal love.
This is love, and this is logic.
These two are inseparable in and from my life.
I leave you with George Pólya on “Signs of Progress” from How to Solve It (emphases mine):
With the word “probably” the conclusion is reasonable and natural but by no means a proof, a demonstrative conclusion; it is only an indication, a heuristic suggestion. It would be a great mistake to forget that such a conclusion is only probable, and to regard it as certain. But to disregard such conclusions entirely would be a still greater mistake. If you take a heuristic conclusion as certain, you may be fooled and disappointed; but if you neglect heuristic conclusions altogether you will make no progress at all. The most important signs of progress are heuristic. Should we trust them? Should we follow them? Follow, but keep your eyes open. Trust, but look. And never renounce your judgement.

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[...] On love and logic This entry was written by introspectif, posted on 4 Jul 2008 at 5:15 pm, filed under [...]