Author: Dr Mahesh C. Jain is a practicing medical doctor has written the book “Encounter of Science with Philosophy – A synthetic view”. The book begins with first chapter devoted to scientifically valid concept of God and then explains cosmic phenomena right from origin of nature and universe up to origin of life and evolution of man. The book includes several chapters devoted to auxiliary concepts and social sciences as corollaries to the concept of God.
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Published on: **Mar 3, 2016**

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- 1. Natural Limitations of MathematicsSummary: It is commonly believed by the Learned that mathematical evidence insupport of any subject matter is the final proof of the subject matter. However, it isnot so. Interpretation of mathematical evidence is determined, not only bymathematical tools and techniques but also by applicable natural laws, nature ofinteracting entities and context of interaction.Scientists, particularly Physicists and others regard Mathematics as the final proofof anything. It is commonly held that once a proposition is able to find somemathematical argument in its support, it is deemed proved and settled for good.Physicists have even invented the term “Mathematico-logical derivation andelevated it to the level of gospel truth. The current cosmic view held by Physicistsis a glaring example of where mathematico-logical derivation can lead to, ifapplied in interpretation of natural events, without due consideration of naturallimitations of Mathematics. The current cosmic view in Physics has its origin intwo fundamental hypothesis of Einstein’s Theory of Relativity, mathematicallylogically extrapolated to a theory of entire cosmos, directed towards reconciliationwith quantum physics. As a result of unrestrained mathematico-logical derivation,the Physicist’s cosmic view has landed in to a cosmos which is beyond sensoryperception and is therefore just not there. Strings of the string theory and M-Theory are beyond sensory perception – direct or indirect. These efforts have led totheoretical models which are quite similar to Ptolemy’s Model of Planetary Systemand Phlogiston Theory of Combustion.This leads us to the question of natural limitations of Mathematics inunderstanding natural events, things and the cosmos as a whole. 1) Mathematics is not all real: For example Complex numbers and Boolean algebra are not grounded in natural events. These can be best regarded as mathematical fantasies, may be useful as tools and techniques in certain situations. I once met Professor O. P. Mishra (Now retd.) of Department of Physics. He claimed that by application of Schwartz Distribution Principle through dedicated software to the available data, it would be possible to predict incidence of earth quakes. He cited the reason for his belief that earth
- 2. quakes can’t be predicted on the basis of available data only because of inaccuracy of available data which can be rectified by applying Schwartz Distribution Principle and thereafter accurate prediction of incidence of earth quakes can be made. However, I found it farfetched and beyond comprehension. Mathematics is not like a magician’s hat that can apparently produce things out of nothing. Until and unless, one clearly knows what data is to be collected and how the relevant data is to be interpreted, how mere application of a mathematical tool or technique can ever lead to prediction of a natural event is clearly beyond comprehension. Finally, these virtual components of Mathematics are relevant only as tools and techniques so far as they lead to results compatible with real world. If it is otherwise, then their use is clearly unwarranted.2) Nature is hierarchically organized and rules vary from one hierarchical level to another. Rules applicable to cosmic dust may not be the same as rules applicable to celestial bodies such as planets, stars etc. Therefore, unlimited mathematical extrapolation can’t be correct and proper. For example, by supplying heat to a block of ice, it is possible to convert it in to a liquid and then vaporize it to water vapor. But rules applicable to solid, liquid and gaseous state of matter vary and hence mathematical computation applicable to water in solid state can’t be valid when applied to water in liquid state and so on so forth. Natural events often involve change of state and change of phase with commensurate changes in applicable rules. Hence unlimited mathematico-logical extrapolations are wholly unwarranted until and unless it is shown that rules being so applied are valid across change of hierarchical level, change of phase, change of state etc.3) Nature is not mathematico-logically perfect: Nature abounds in non- linearties. All acts of natural origin and creation are nonlinear in character. All phase changes and change of state are nonlinear in character. Some of these nonlinear acts are recognized as singularities by Physicists. A singularity in Physics means a strange point since Physicists fail to apply Laws of Physics across a singularity. No unconstrained mathematico-logical extrapolation can be valid across a nonlinear act. All these nonlinear acts are empirically determinate but at the present level of human understanding are rationally indeterminate. For example decay of Uranium in to lead is an empirically certain event but
- 3. its occurrence can’t be predicted on the basis properties of Uranium and known laws of Physics.Therefore, we have to be guided by Nature in application of mathematical toolsand techniques towards interpretation of natural events. Application ofmathematical tools and techniques is valid only so far as it corresponds toobservations/ experimental results/ experience.Notwithstanding the above said, mathematical tools and techniques are quite usefulin discovering hidden conditions underlying things and events. Mathematicalreconciliation of observed data indicates adequate and fair understanding of thegiven subject matter.Hence in the book “Encounter of Science With Philosophy – A Synthetic View”Mathematics has been defined as science and art of computation of natural events.Author: Dr Mahesh C. Jain is a practicing medical doctor has written the book“Encounter of Science with Philosophy – A synthetic view”. The book begins withfirst chapter devoted to scientifically valid concept of God and then explainscosmic phenomena right from origin of nature and universe up to origin of lifeand evolution of man. The book includes several chapters devoted to auxiliaryconcepts and social sciences as corollaries to the concept of God.Visit: www.sciencengod.com www.sciencengod.com/clipboard/