Never at Rest: A Biography of Isaac Newton

Westfall, Richard S.; Devons, S.

doi:10.1119/1.12600

Cited by 96 publications

(14 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…(Newton, 1999: 795) 15 One of the earliest formulations of Rule III is to be found in a list of corrections and additions to the first edition of the Principia which Newton composed in the early 1690s. During this period, Newton was making plans for a new edition of the Principia (Westfall, 1980: 506-512) -a project that ultimately materialized more than twenty years later. Nicolas Fatio De Duillier and David Gregory after him shortly acted as prospective editors of a new edition of Newton's magnum opus in the early 1690s (Cohen, 1971: 177-184, 189-198).…”

Section: Rule IIImentioning

confidence: 99%

“…(CUL Add. Ms. 3965: 419 v ) 41 39 Amongst Newton's additions and corrections to the second edition of the Principia there are four precursors of Rule IV, which are difficult to date exactly. 42 In one of these variants Newton pointed out that although, in stark contrast to geometrical demonstrations, inductive arguments are not necessarily "universal," they are stronger than hypotheses.…”

Section: Rule IVmentioning

confidence: 99%

See 1 more Smart Citation

An editorial history of Newton’s regulae philosophandi

Ducheyne

2015

Estud.filos

View full text Add to dashboard Cite

Resumen. El presente trabajo, basado en la obra publicada e inédita de Isaac Newton, proporciona una historia editorial de sus famosas regulae philosophandi. Palabras clave: Isaac Newton, principia mathematica, regulae philosophandi, metodología científicaAbstract. In the paper at hand, I provide an editorial history of Isaac Newton's famous regulae philosophandi on the basis of extant manuscript material.

show abstract

Section: Rule IIImentioning

confidence: 99%

Section: Rule IVmentioning

confidence: 99%

An editorial history of Newton’s regulae philosophandi

Ducheyne

2015

Estud.filos

View full text Add to dashboard Cite

show abstract

“…Yet, I would like to emphasize another aspect of the problem: often mathematical theories of the mind where proposed before the necessary physical intuition of how the mind works was developed. Newton, as often mentioned, did not consider himself as evaluating various hypotheses about the working of the material world, he felt that he possesses what we call today a physical intuition about the world [50]. An intuition about the mind points to mechanisms of concepts, emotions, instincts, imagination, behavior generation, consciousness and unconscious.…”

Section: Mind: Concepts and Emotionsmentioning

confidence: 99%

Neural Networks, Fuzzy Models and Dynamic Logic

Perlovsky

Aspects of Automatic Text Analysis

View full text Add to dashboard Cite

Summary. The paper discusses possible relationships between computational intelligence, known mechanisms of the mind, semiotics, and computational linguistics. Mathematical mechanisms of concepts, emotions, and goals are described as a part of information processing in the mind and are related to language and thought processes in which an event (signals from surrounding world, text corpus, or inside the mind) is understood as a concept. Previous attempts in artificial intelligence at describing thought processes are briefly reviewed and their fundamental (mathematical) limitations are analyzed. The role of emotional signals in overcoming these past limitations is emphasized. The paper describes mathematical mechanisms of concepts applicable to sensory signals and linguistics; they are based on measures of similarities between models and signals. Linguistic similarities are discussed that can utilize various structures and rules proposed in computational linguistic literature. A hierarchical structure of the proposed method is capable of learning and recognizing concepts from textual data, from the level of words and up to sentences, groups of sentences, and towards large bodies of text. I briefly discuss a role of concepts as a mechanism unifying thinking and language and their possible role in language acquisition. A thought process is related to semiotic notions of signs and symbols. It is further related to understanding, imagination, intuition, and other processes in the mind. The paper briefly discusses relationships between the mind and brain and applications to understanding-based search engines.

show abstract

“…Establishing relationships between these descriptions is of great scientific interest. Today we approach solutions to this challenge [ 51 ], which eluded Newton in his attempt to establish physics of "spiritual substance" [ 52 ]. Detailed discussion of established relationships between the mind and brain is beyond the scope of this chapter.…”

Section: Experimental Evidence Predictions and Testingmentioning

confidence: 99%

Sapience, Consciousness, and the Knowledge Instinct (Prolegomena to a Physical Theory)

Perlovsky

Toward Artificial Sapience

View full text Add to dashboard Cite

The chapter describes a mathematical theory of sapience and consciousness: higher mental abilities including abilities for concepts, emotions, instincts, understanding, imagination, intuition, beautiful, and sublime. The knowledge instinct drives our understanding of the world. Aesthetic emotions, our needs for beautiful and sublime are related to the knowledge instinct. I briefly discuss neurobiological grounds as well as difficulties encountered by previous attempts at mathematical modeling of the mind encountered since the 1950s. Dynamic logic, the mathematics of the knowledge instinct, is related to cognitive and philosophical discussions about the mind and sapience.

show abstract

Never at Rest: A Biography of Isaac Newton

Cited by 96 publications

References 0 publications

An editorial history of Newton’s regulae philosophandi

An editorial history of Newton’s regulae philosophandi

Neural Networks, Fuzzy Models and Dynamic Logic

Sapience, Consciousness, and the Knowledge Instinct (Prolegomena to a Physical Theory)

Contact Info

Product

Resources

About