Humans have a tremendous attraction for the mysterious. We all keep imagining the world that lies beyond ‘this world’ – i.e., the world which we can grasp and measure by our senses. Of course, we are conscious of a lot of things that elude the senses. For example, we all are conscious of beauty, joy, wonder, love, peace as well as their opposites. And of course, the most important and constantly experienced, yet most inexplicable phenomenon of ‘I’! But none of these can be precisely presented in terms of mathematical measurements or logical constructs. The expressions of these emotions can be understood as brain-functions and can thus be reduced to mathematical terms, but not the emotions themselves. The spiritual urge in us therefore wants to go beyond the boundaries of reason, which is truncated by the limits of whole numbers. Mathematical logic, which is also related to set theory, has to work within the whole-number frame-work: we cannot conceive of a set having 5&7/10 objects; it has to have either 5 objects or 6, but not ‘in between’. In arriving at a conclusion using formal logic, we have to go step 1->step 2 ->. . . . If, for simplification, we put a step between steps 1 & 2, then that becomes step 2 and what was earlier called step 2 becomes step 3. Absolutely no possibility of having step # 1&1/2!
But suppose we can sharpen our basic faculties and are able to actually conceive a logical system that goes in between?
But suppose we can sharpen our basic faculties and are able to actually conceive a logical system that goes in between?