Vjecsner notes that while the application of logic in the field of mathematics is far from exhausted, the same potential exists in virtually any area. "I explore very thoroughly and positively major issues in philosophy and beyond, offering new understandings in how we acquire knowledge, how language and formation of concepts get involved, how fundamental worldly realities can be ascertained, and how a complete system of logic can be constructed that should be an extensive improvement and simplification of what is extant in the field. In the process I include many carefully thought-out and designed diagrams, that either serve to demonstrate assertions in logic or to edify others." Vjecsner's approach is straightforward: examine widely accepted ideas and existing evidence, consider and question them, and introduce relevant new ideas. The results he has achieved are impressive. He has produced new resolutions to old problems previously believed to be insolvable. Citing the practices of Descartes, he observes that challenging accepted ideas is necessary if we are to avoid building new knowledge on stale doctrine and be free to attain a greater awareness. Practicing this exploration of knowledge has resulted in, through a Sherlock Holmes-like process of deduction, a substantial challenge to long-held views in mathematics, logic, geometry, and theology. In geometry and mathematics for example, problems dating back to the ancient Greeks, such as Euclid's 5th, or the parallel, postulate, have long been accepted as insoluble. Vjecsner not only contests this view, but offers proofs.
Vjecsner has found such ancient problems in geometry of particular interest, a well known threesome of them being the trisection of an arbitrary angle, the duplication of the cube, and the squaring of the circle. The image above is an “angle trisection” created by means of an unmarked ruler and compass, something not believed possible. The issue in this construction is performing it "by use of merely compass and unmarked ruler, in the Euclidean tradition." This and other constructions which the reader may sample at Vjecsner's web site were never previously accomplished by using those tools alone. "With regard to only the past inability of using compass and unmarked ruler alone however applied, I indeed found ways of using these tools for such purposes."
Vjecsner has accepted what he feels is "a responsibility to express his discoveries and challenge many of the dogmatic issues found within a variety of subjects which resist change." Layperson and academic alike will find that Reflective Inquiries addresses the basic concepts of our reality and how we acquire its knowledge, express it, and expand on it.
|
“Advertised as a ‘Cartesian reexamination of basic presuppositions, old and new, in philosophy and sciences’, this is a painstaking effort. Its stated purpose is to disclose how various truths such as free will, and including some now considered undemonstrable, ‘can be reflectively demonstrated and thereby an actual rather than speculative edifice of existence revealed’. The author sedulously presents his ‘[process] of inquiry’ and then four chapters: on language and concepts; on self, mind, and external reality; on logic and mathematics; and finally on the existence of God, with further inquiries into ‘the goodness of God and man’ and ‘heaven and immortality’. The chapters are independent but are cross-referenced, and ‘premises on which conclusions there are based may be substantiated elsewhere’.A prospective reader, then, should not be misled by the title into expecting the early chapters to simply underpin the ‘proof for the existence of God’. The caution that ‘sections can be read individually by individual readers’ could alert those interested expressly in that proof and not in the exercises of erudition, acumen, and reasoning skill that precede it. …" |
|
|
|
||
|
For those interested in the Holocaust, Vjecsner has begun an autobiography at his web site, including photos and recent artwork created from his memories, such as the sketch to the right, of him with his mother and brother (center) moving with a few of their possessions to the Ghetto, and the sketch below, of liberation from the Mauthausen concentration camp in Austria by American forces, who took the freed inmates to a provisional hospital set up in former German military quarters near the Austrian town of Hörsching. Repatriation of Paul Vjecsner and other survivors then followed.
Visit the author's web site at http://vjecsner.net
|
||
|
||
In the Spotlight:
Logical thought however, is not Vjecsner's only gift. He also holds several 
