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Is it in the nature of our everyday language to be as ackward and imprecise as scientists claim to justify the necessity of mathematics AT ANY POINT or is it rather the inability of some to think and write clearly? Eventually, mathematics are essential, but often clarity of mind and mastery of the language push farther back the threshold of mathematical reasoning In fact, one can only be struck at the simplicity with which A.Einstein conveys in words, in some of his divulgative writings, what many brilliant scientists have been unable to convey without retreating into mathematics.
The concept of curvature evokes ( I am not saying it has..) a spatial connotation and I still wonder, if curvature cannot be attributed to space only, separated from time, how can it be attributed to SPACETIME, which includes SPACE afterall ! There must be then a sense in which SPACE in the SPACETIME entity has a curvature, which is different from that implied when we (wrongly) speak of curvature of SPACE alone, separated from TIME. This brings me to the next question: if we speak of curvature of SPACETIME, what is curved in TIME ? Perhaps maths are not necessary,only aclarification of terms