Role of Space Time in Jainas Syadavada and Quantum Theory

Author(s): Filita Bharucha
Publisher: Shri Satguru Publications

Page 70

Role of Space-Time in Jaina's Syadvada *[(Ro x T) x L.] = {[(x,y,z); t]; (n,m)}
for (x,y,z) e R$, te T, (n,m) € Lim where e denotes to the value 'belongs to'.
The values of n, m are discussed in the "Heterologic Approach" as follows:
As we know that 'physical events' depend on a space-timeContinuum which is represented by some relational system based of activity in the Physical world which is transcient and fluctuation.
For this, we introduce a 'Hetero-Logical Approach” which evaluates the concepts of events. In Heterological Approach, we only consider truth-values (T.V.) depend on concept of probability i.e. their supremum*of truth-values that in turn depends of supremum of probability.
We begin the Hetero-Logic Approach which is required by the space [(Ro x T) x Lim The “Heterologic Approach”:
I. Outline below in brief some of the developments as follows: Assumption: Our "system S” has its own logic L of
respective degree and order. Definition 1: The number of different truth-values
(T.V.) that a proposition P can take is defined as Order of Logic L. e.g. on N-valued logic has order n where ‘n’ natural numbers. In the case of discussion
"events" today, we consider order 2. Definition II: To determine the degree of a logic L, we
can proceed as follows: + Ref to Appendix I of this Chapter VI. + Ref to Appendix II of this Chapter VI.