In The Shadows of the Mind, Roger Penrose spends many pages discussing whether calculating machines (computers) can match human intelligence. Penrose proposes to elucidate the nature of human consciousness through modern mathematical discoveries and quantum physics. He is working out the implications of Godel’s Theorem but in reverse, so to speak. Since we cannot completely prove any axiomatic system in mathematics, when we do discover truth in mathematics […]
Joseph Weizenbaum , Computer Power and Human Reason (New York, W.H. Freeman and Company, 1976), pp 221-22. There was a time when physics dreamed of explaining the whole of physical reality in terms of one comprehensive formalism. Leibnitz taught that if we knew the position and velocity of every elementary particle in the universe, we could predict the universe’s whole future course. But then Werner Heisenberg proved that […]
One of the purposes of his site is to provide an overall view of Systems of Thought , ways of seeing and understanding things derivative from the work of David Hilbert and Alan Turing. Let us begin with the concept of RULE FOLLOWING SYSTEMS: Here is how it works: A machine is the best model of a Rule Following System. A Machine is not merely law abiding. A […]
Yartzeit 2015 עברית- PDF4 צִיּוֹן בְּמִשְׁפָּט תִּפָּדֶה וְשָׁבֶיהָ בִּצְדָקָה ישעיהו פרק א) תוכן א. תורה שבעל פה לפני מתן תורה ב. תורה שבכתב ג. כל המקבל שבע מצות ד. תריג ה. תורה שבעל פה אחר מתן תורה ו. לא תסור ז. יש כח בחכמים (לעקור דבר מן התורה) שאלות וםוגיות א. ” צִיּוֹן בְּמִשְׁפָּט תִּפָּדֶה וְשָׁבֶיהָ בצדקה. ” מה משמעות לפסוק הזה? […]
This Website is a challenge to the Old to think like the New. And it is a challenge to the New to think like the Old. This is a Torah Oriented Website and we are exploring here the nature of Torah and Torah Study. We are investigating the basic assumptions that underlie all of Torah thinking – that which makes it unique among Systems of Thought – and […]
בס”ד אלול תשע”ג A Moped A Boy and a Miracle 3rd revision pdf A Moped, a Boy, and a Miracle A Rosh Hashannah Message for Every Day By Gerald Parkoff Imagine a boy and his sister walking to Shul one Friday night with their grandfather. The boy is about seven years old and runs ahead of his “Saba.” The girl, around four and one half trails behind, dilly […]
Through the Looking Glass with footnotes pdf THROUGH THE LOOKING GLASS: A Study of Axiomatic Systems and Torah Logic By Gerald Parkoff בס “ד 8th Revision טו סיון תשע”ב June 5, 2012 AXIOMATIC SYSTEMS It is useful to compare the Torah and the way it is traditionally learned to an Axiomatic System. Traditional Jews are within the system. Many outside the system feel they should be […]
Achilles and the Tortoise, on Self Evidence 8th Revision with Footnotes pdf ACHILLES AND THE TORTOISE 7th Revision An Essay on the Logical Foundations of Torah Study; SELF EVIDENCE, INTUITION, AND THE SEARCH FOR TRUTH by Gerald Parkoff *********************** בס “ד 7th Revision טו סיון תשע”ב June 5, 2012 Who has the Truth? And who represents Am Yisroel, the nation of Israel? How can we reassert the authority […]
בס “ד (click here) pdf 7 בעברית -השופט בישראל השופט בישראל לא נגמר מאת גרשון פרקוף By Gershon Parkoff June 9, 2014 יא סיון תשע”ד מקורות אלה יצאו לענות בצורה מאוד ראשונית על שלוש שאלות: 1. מה היחוד לשופט היהודי? ואיך שופט לפי התורה שונה משופט חילוני? 2. מדוע היו אמוראים וראשונים ואחרונים כל כך נחושים להשמר מבתי המשפט חילוני אפילו שאין לנו שופטים יהודים מוסמכים […]
