Perhaps you are right.

Thanks both Dibakar and Mahesh for your answers. First, Dibakar's 'No sequence no logic' is completely right: that is the logic we know it today. In other words, that is the logic that has been caused exactly by the 2nd law of thermodynamics! Second, Mahesh's 'Perhaps you are right.' Interesting! Please explain it further. Thanks for your further ruminations about this problem.

Logic is not about sequence. It is about statements e.g. statement 'A' and statement 'not A' are incompatible.

Dear Eugen,

But what if you can say 1,2,3, etc. simultaneously, consequently not sequentially? Regarding statements: what if you can state 'A' and 'not A' simultaneously, consequently not sequentially? This touches the heart of logic itself as we know it today. Please think it over again and give your right answer. Thanks in advance! Marc.

A & ~A or {A, ~A} in classical logic lets you infer or derive any proposition whatsoever.

If you have a sequence of premises or steps in a derivation that contain A and ~A separately, you can infer A & ~A by the rule of conjunction; or from A & ~A you can infer A and ~A separately by the rule of simplification.

Simultaneity and sequence (as you use these terms) are physical or (spatio)temporal notions. Math abstracts away from such notions and is in that sense atemporal. Conflating abstract mathematical notions and temporal notions lands you in paradoxes such as Zeno's Achilles and the Tortoise. If you use a Lemmon-style sequent-notation, the "sequence" of steps (which are individual sequents, with a t) in a proof can in principle be in any order, i.e. non-sequential in the sense that the particular sequence of sequent-representing strings of inkmarks doesn't matter. Each sequent can stand on its own in specifying a syntactic or semantic consequence-relation.

Dear Karl,

My question is based upon the 2nd law of thermodynamics. Does this law in one way or another effects the logic? Stated otherwise: isn't logic grounded upon this law? Thanks in advance for your further answer! Marc.

Marc,

Perhaps this recent posting on RG, using "logic" in a somewhat different sense, is more the type of thing you're looking for:

Preprint Logical Entropy: Introduction to Classical and Quantum Logic...

Dear Karl,

Thank you for the preprint of David Ellerman. I will read it very carefully. Would you be so kind as to send me preprints, prints, or any recent links or books on the nature and origin of the 2nd law of thermodynamics? That would be very relevant for my research. Marc.