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02:35, 4 November 2022 Gianfranco talk contribs created page Store:FLde03 (Created page with "==Set theory== As mentioned in the previous chapter, the basic concept of fuzzy logic is that of multivalence, i.e., in terms of set theory, of the possibility that an object can belong to a set even partially and, therefore, also to several sets with different degrees. Let us recall from the beginning the basic elements of the theory of ordinary sets. As will be seen, in them appear the formal expressions of the principles of Aristotelian logic, recalled in the previous...")
02:34, 4 November 2022 Gianfranco talk contribs created page Store:FLes02 (Created page with "==Fuzzy truth== In the ambitious attempt to mathematically translate human rationality, it was thought in the mid-twentieth century to expand the concept of classical logic by formulating fuzzy logic. Fuzzy logic concerns the properties that we could call ‘graduality’, i.e., which can be attributed to an object with different degrees. Examples are the properties ‘being sick’, ‘having pain’, ‘being tall’, ‘being young’, and so on. Mathematically, fuzz...")
02:34, 4 November 2022 Gianfranco talk contribs created page Store:FLde02 (Created page with "==Fuzzy truth== In the ambitious attempt to mathematically translate human rationality, it was thought in the mid-twentieth century to expand the concept of classical logic by formulating fuzzy logic. Fuzzy logic concerns the properties that we could call ‘graduality’, i.e., which can be attributed to an object with different degrees. Examples are the properties ‘being sick’, ‘having pain’, ‘being tall’, ‘being young’, and so on. Mathematically, fuzz...")
02:34, 4 November 2022 Gianfranco talk contribs created page Store:FLde01 (Created page with "==Introduction== We have come this far because, as colleagues, are very often faced with responsibilities and decisions that are very difficult to take and issues such as conscience, intelligence and humility come into play. In such a situation, however, we are faced with two equally difficult obstacles to manage that of one <math>KB</math> (Knowledge Basis), as we discussed in the chapter ‘Logic of probabilistic language’, lim...")
02:33, 4 November 2022 Gianfranco talk contribs created page Store:FLes01 (Created page with "==Introduction== We have come this far because, as colleagues, are very often faced with responsibilities and decisions that are very difficult to take and issues such as conscience, intelligence and humility come into play. In such a situation, however, we are faced with two equally difficult obstacles to manage that of one <math>KB</math> (Knowledge Basis), as we discussed in the chapter ‘Logic of probabilistic language’, lim...")
02:30, 4 November 2022 Gianfranco talk contribs created page Fuzzy logic language - es (Created page with "{{transl|es}} left|thumb|275px {{:Store:FLes01}} {{:Store:FLes02}} {{:Store:FLes03}} {{:Store:FLes04}} {{:Store:FLes05}} {{:Store:FLes06}} {{Bib}} {{apm}} Category:Articles about logic of language")
02:29, 4 November 2022 Gianfranco talk contribs created page Fuzzy logic language - de (Created page with "{{transl|de}} left|thumb|275px In diesem Kapitel werden wir uns mit der Fuzzy-Logik beschäftigen. Fuzzy heißt sie, weil sie sich durch Gradualität auszeichnet: Einem Objekt kann eine Eigenschaft zugeordnet werden, die unterschiedliche Wahrheitsgrade haben kann. Im ersten Teil dieses Kapitels wird die Bedeutung der abgestuften Wahrheit begrifflich erörtert, während wir uns im zweiten Teil mit dem mathematischen Formalismus beschäftigen, indem w...")
02:15, 4 November 2022 Gianfranco talk contribs created page Store:FLfr06 (Created page with "==Final considerations== Topics that could distract the reader’s attention were, in fact, essential for demonstrating the message. Normally, indeed, when any more or less brilliant mind allows itself to throw a stone into the pond of Science, a shockwave is generated, typical of the period of Kuhn’s extraordinary science, against which most of the members of the international scientific community row. With good faith, we can say that this phenomenon—as regards the...")
02:15, 4 November 2022 Gianfranco talk contribs created page Store:FLfr05 (Created page with "==Fuzzy set <math>\tilde{A}</math> and membership function <math>\mu_{\displaystyle {\tilde {A}}}(x)</math>== We choose - as a formalism - to represent a fuzzy set with the 'tilde':<math>\tilde{A}</math>. A fuzzy set is a set where the elements have a 'degree' of belonging (consistent with fuzzy logic): some can be included in the set at 100%, others in lower percentages. To mathematically represent this degree of belonging is the function <math>\mu_{\displaystyle {\til...")
02:14, 4 November 2022 Gianfranco talk contribs created page Store:FLfr04 (Created page with "===Set operators=== Given the whole universe <math>U</math> we indicate with <math>x</math> its generic element so that <math>x \in U</math>; then, we consider two subsets <math>A</math> and <math>B</math> internal to <math>U</math> so that <math>A \subset U</math> and <math>B \subset U</math> {| |left|80px |'''Union:''' represented by the symbol <math>\cup</math>, indicates the union of the two sets <math>A</math> and <math>B</math> <math>(A\cup B...")
02:14, 4 November 2022 Gianfranco talk contribs created page Store:FLfr03 (Created page with "==Set theory== As mentioned in the previous chapter, the basic concept of fuzzy logic is that of multivalence, i.e., in terms of set theory, of the possibility that an object can belong to a set even partially and, therefore, also to several sets with different degrees. Let us recall from the beginning the basic elements of the theory of ordinary sets. As will be seen, in them appear the formal expressions of the principles of Aristotelian logic, recalled in the previous...")
02:14, 4 November 2022 Gianfranco talk contribs created page Store:FLfr02 (Created page with "==Fuzzy truth== In the ambitious attempt to mathematically translate human rationality, it was thought in the mid-twentieth century to expand the concept of classical logic by formulating fuzzy logic. Fuzzy logic concerns the properties that we could call ‘graduality’, i.e., which can be attributed to an object with different degrees. Examples are the properties ‘being sick’, ‘having pain’, ‘being tall’, ‘being young’, and so on. Mathematically, fuzz...")
02:13, 4 November 2022 Gianfranco talk contribs created page Store:FLfr01 (Created page with "==Introduction== We have come this far because, as colleagues, are very often faced with responsibilities and decisions that are very difficult to take and issues such as conscience, intelligence and humility come into play. In such a situation, however, we are faced with two equally difficult obstacles to manage that of one <math>KB</math> (Knowledge Basis), as we discussed in the chapter ‘Logic of probabilistic language’, lim...")
02:11, 4 November 2022 Gianfranco talk contribs created page Fuzzy logic language - fr (Created page with "{{transl|fr}} left|thumb|275px Dans ce chapitre, nous allons aborder la logique floue. Elle est dite floue car elle se caractérise par la gradualité : on peut attribuer à un objet une qualité qui peut avoir différents degrés de vérité. Dans la première partie de ce chapitre, nous discuterons de la signification de la vérité graduelle sur le plan conceptuel, tandis que dans la deuxième partie, nous nous plongerons dans le formalisme math...")
07:49, 3 November 2022 Gianni talk contribs created page Quantum-like modeling in biology with open quantum systems and instruments - en (Created page with "{{transl}} {{FR | Title = Quantum-like modeling in biology with open quantum systems and instruments | author1 = Irina Basieva | author2 = Andrei Khrennikov | author3 = Masanao Ozawa | Source = https://pubmed.ncbi.nlm.nih.gov/33347968/ | Original =  | Date = 2021<!-- date of the original work, when the author/s published...")
07:48, 3 November 2022 Gianni talk contribs created page Exploring electroencephalography with a model inspired by quantum mechanics - es (Created page with "{{transl}} {{FR | Title = Exploring electroencephalography with a model inspired by quantum mechanics | author1 = Nicholas J. M. Popiel | author2 = Colin Metrow | author3 = Geofrey Laforge | author4 = Adrian M. Owen | author5 = Bobby Stojanoski | author6 = Andrea Soddu | author7 = | author8 = | author9 = | author10 = | Source = https://pubmed.ncbi.nlm.nih.gov/34611185/ | Original =...")
07:47, 3 November 2022 Gianni talk contribs created page Exploring electroencephalography with a model inspired by quantum mechanics - de (Created page with "{{transl}} {{FR | Title = Exploring electroencephalography with a model inspired by quantum mechanics | author1 = Nicholas J. M. Popiel | author2 = Colin Metrow | author3 = Geofrey Laforge | author4 = Adrian M. Owen | author5 = Bobby Stojanoski | author6 = Andrea Soddu | author7 = | author8 = | author9 = | author10 = | Source = https://pubmed.ncbi.nlm.nih.gov/34611185/ | Original =...")
07:47, 3 November 2022 Gianni talk contribs created page Exploring electroencephalography with a model inspired by quantum mechanics - fr (Created page with "{{transl}} {{FR | Title = Exploring electroencephalography with a model inspired by quantum mechanics | author1 = Nicholas J. M. Popiel | author2 = Colin Metrow | author3 = Geofrey Laforge | author4 = Adrian M. Owen | author5 = Bobby Stojanoski | author6 = Andrea Soddu | author7 = | author8 = | author9 = | author10 = | Source = https://pubmed.ncbi.nlm.nih.gov/34611185/ | Original =...")
07:47, 3 November 2022 Gianni talk contribs created page Exploring electroencephalography with a model inspired by quantum mechanics - it (Created page with "{{transl}} {{FR | Title = Exploring electroencephalography with a model inspired by quantum mechanics | author1 = Nicholas J. M. Popiel | author2 = Colin Metrow | author3 = Geofrey Laforge | author4 = Adrian M. Owen | author5 = Bobby Stojanoski | author6 = Andrea Soddu | author7 = | author8 = | author9 = | author10 = | Source = https://pubmed.ncbi.nlm.nih.gov/34611185/ | Original =...")
07:44, 3 November 2022 Gianni talk contribs created page Exploring electroencephalography with a model inspired by quantum mechanics - en (Created page with "{{transl}} {{FR | Title = Exploring electroencephalography with a model inspired by quantum mechanics | author1 = Nicholas J. M. Popiel | author2 = Colin Metrow | author3 = Geofrey Laforge | author4 = Adrian M. Owen | author5 = Bobby Stojanoski | author6 = Andrea Soddu | author7 = | author8 = | author9 = | author10 = | Source = https://pubmed.ncbi.nlm.nih.gov/34611185/ | Original =...")
07:42, 3 November 2022 Gianni talk contribs created page Logic of medical language: Introduction to quantum-like probability in the masticatory system - es (Created page with "{{transl}} '''Figura 3''': La struttura dell'apparato sperimentale. Apparentemente, il gatto può essere contemporaneamente vivo e morto. |link=https://cantiere.masticationpedia.org//index.php/File:Schrodingers_cat.svg|alt=|left|frameless Sometimes we think: 'Can the profound reality of a system state be reduced only to a macroscopic observation (Observable) if such complex system is a set of mixed states? Furthermore, the sharing of an...")
07:42, 3 November 2022 Gianni talk contribs created page Logic of medical language: Introduction to quantum-like probability in the masticatory system - de (Created page with "{{transl}} '''Figura 3''': La struttura dell'apparato sperimentale. Apparentemente, il gatto può essere contemporaneamente vivo e morto. |link=https://cantiere.masticationpedia.org//index.php/File:Schrodingers_cat.svg|alt=|left|frameless Sometimes we think: 'Can the profound reality of a system state be reduced only to a macroscopic observation (Observable) if such complex system is a set of mixed states? Furthermore, the sharing of an...")
07:42, 3 November 2022 Gianni talk contribs created page Logic of medical language: Introduction to quantum-like probability in the masticatory system - fr (Created page with "{{transl}} '''Figura 3''': La struttura dell'apparato sperimentale. Apparentemente, il gatto può essere contemporaneamente vivo e morto. |link=https://cantiere.masticationpedia.org//index.php/File:Schrodingers_cat.svg|alt=|left|frameless Sometimes we think: 'Can the profound reality of a system state be reduced only to a macroscopic observation (Observable) if such complex system is a set of mixed states? Furthermore, the sharing of an...")
07:40, 3 November 2022 Gianni talk contribs created page Complex Systems - es (Created page with "{{transl}} left|400px After the previous chapters, we should now be able to recognize that, both in modern physics and in biology, a "Complex System" is a multi-component dynamic system composed of different subsystems that typically interact with each other. Such systems are typically studied through "holistic" investigation methodologies or as "total" computation of the behaviours of the individual subsystems, together with their mutual interactions...")
07:40, 3 November 2022 Gianni talk contribs created page Complex Systems - de (Created page with "{{transl}} left|400px After the previous chapters, we should now be able to recognize that, both in modern physics and in biology, a "Complex System" is a multi-component dynamic system composed of different subsystems that typically interact with each other. Such systems are typically studied through "holistic" investigation methodologies or as "total" computation of the behaviours of the individual subsystems, together with their mutual interactions...")
07:40, 3 November 2022 Gianni talk contribs created page Complex Systems - fr (Created page with "{{transl}} left|400px After the previous chapters, we should now be able to recognize that, both in modern physics and in biology, a "Complex System" is a multi-component dynamic system composed of different subsystems that typically interact with each other. Such systems are typically studied through "holistic" investigation methodologies or as "total" computation of the behaviours of the individual subsystems, together with their mutual interactions...")
07:39, 3 November 2022 Gianni talk contribs created page System logic - es (Created page with "{{transl}} Motor Evoked Potential of the ipsilateral Trigeminal Root |alt=|thumb|250px|left This chapter closes the loop of the 'Logic of medical language' to introduce a diagnostic model in the field of masticatory functions that combines the conceptuality of system logic with quantum mechanics. The statistical mathematical models of a system logic, therefore, cannot be subjective, nor approximate, much less vagu...")
07:39, 3 November 2022 Gianni talk contribs created page System logic - de (Created page with "{{transl}} Motor Evoked Potential of the ipsilateral Trigeminal Root |alt=|thumb|250px|left This chapter closes the loop of the 'Logic of medical language' to introduce a diagnostic model in the field of masticatory functions that combines the conceptuality of system logic with quantum mechanics. The statistical mathematical models of a system logic, therefore, cannot be subjective, nor approximate, much less vagu...")
07:38, 3 November 2022 Gianni talk contribs created page System logic - fr (Created page with "{{transl}} Motor Evoked Potential of the ipsilateral Trigeminal Root |alt=|thumb|250px|left This chapter closes the loop of the 'Logic of medical language' to introduce a diagnostic model in the field of masticatory functions that combines the conceptuality of system logic with quantum mechanics. The statistical mathematical models of a system logic, therefore, cannot be subjective, nor approximate, much less vagu...")
19:14, 2 November 2022 Gianni talk contribs created page Introduction - es (Created page with " Nos gustaría que nuestro lector tuviera una percepción inmediata de los temas que se debatirán en Masticationpedia; repasaremos algunos de los temas más actuales en torno a la evolución epistemológica de la ciencia en general, y de la medicina y de la odontología en particular... {{Transl}} left|300px En esta fase consideraremos los dos aspectos fundamentales del Progreso de la Ciencia, según los...")
19:14, 2 November 2022 Gianni talk contribs created page Introduction - de (Created page with " Wir möchten, dass unsere Leser eine unmittelbare Wahrnehmung der Themen haben, die in Masticationpedia diskutiert werden; Wir werden einige der aktuellsten Fragen zur erkenntnistheoretischen Entwicklung der Wissenschaft im Allgemeinen und der Medizin sowie der Zahnmedizin im Besonderen besprechen ... {{Transl}} left|300px In dieser Phase werden wir die beiden grundlegenden Aspekte des Fortschritts der W...")
19:13, 2 November 2022 Gianni talk contribs created page Introduction - fr (Created page with " Nous aimerions que notre lecteur ait une perception immédiate des sujets qui seront débattus dans Masticationpedia ; nous passerons en revue quelques-unes des questions les plus actuelles concernant l'évolution épistémologique de la science en général, et de la médecine ainsi que de la médecine dentaire en particulier... {{Transl}} left|300px Dans cette phase nous considérerons les deux aspects...")
20:27, 1 November 2022 Gianni talk contribs created page Logic of medical language: Introduction to quantum-like probability in the masticatory system - en (Created page with "{{transl}} '''Figura 3''': La struttura dell'apparato sperimentale. Apparentemente, il gatto può essere contemporaneamente vivo e morto. |link=https://cantiere.masticationpedia.org//index.php/File:Schrodingers_cat.svg|alt=|left|frameless Sometimes we think: 'Can the profound reality of a system state be reduced only to a macroscopic observation (Observable) if such complex system is a set of mixed states? Furthermore, the sharing of an...")
18:16, 1 November 2022 Gianni talk contribs created page Conclusions on the status quo in the logic of medical language regarding the masticatory system - it (Created page with " left|thumb The model presented here above, of course, is remarkably complex because in this context only the conceptual procedure to follow has been presented: we will see later in the course of reading that everything will materialize in interesting modeling of the trigeminal electrophysiological responses from which a clinical mesoscopic model will be created, of which we can already anticipate the name: '''Index <math>\Psi</math>'''....")
17:13, 1 November 2022 Gianni talk contribs created page Logic of medical language: Introduction to quantum-like probability in the masticatory system - it (Created page with "{{transl}} '''Figura 3''': La struttura dell'apparato sperimentale. Apparentemente, il gatto può essere contemporaneamente vivo e morto. |link=https://cantiere.masticationpedia.org//index.php/File:Schrodingers_cat.svg|alt=|left|frameless A volte pensiamo: 'La realtà profonda di uno 'Stato di sistema' può essere ridotta solo a un'osservazione macroscopica che da ora chiameremo 'Osservabile' se un sistema così complesso è un insieme...")
12:40, 1 November 2022 Gianni talk contribs created page Introduction - it (Created page with " ''Vorremmo che il lettore avesse immediata percezione degli argomenti che verranno trattati in '''Masticationpedia''', passando in rassegna alcuni dei temi più attuali che riguardano l'evoluzione epistemologica della Scienza in generale, quella medica ed odontoiatrica in particolare...'' {{Transl}} left|300px In questa fase prenderemo in considerazione i due aspetti fondamentali del '''Progresso del...")
12:38, 1 November 2022 Gianni talk contribs created page Introduction - en (Created page with " We would like our reader to have an immediate perception of the topics that will be debated in '''Masticationpedia'''; we will review some of the most current issues concerning the epistemological evolution of science in general, and medical as well as dental medicine in particular... {{Transl}} left|300px In this phase we will consider the two fundamental aspects of '''Progress of Science''', accord...")
12:10, 1 November 2022 Gianni talk contribs created page Logic of medical language: Introduction to quantum-like probability in the masticatory sys it (Created page with "{{transl}} '''Figura 3''': La struttura dell'apparato sperimentale. Apparentemente, il gatto può essere contemporaneamente vivo e morto. |link=https://cantiere.masticationpedia.org//index.php/File:Schrodingers_cat.svg|alt=|left|frameless Sometimes we think: 'Can the profound reality of a system state be reduced only to a macroscopic observation (Observable) if such complex system is a set of mixed states? Furthermore, the sharing of an...")
11:14, 1 November 2022 Gianni talk contribs created page Complex Systems - it (Created page with "{{transl}} left|400px After the previous chapters, we should now be able to recognize that, both in modern physics and in biology, a "Complex System" is a multi-component dynamic system composed of different subsystems that typically interact with each other. Such systems are typically studied through "holistic" investigation methodologies or as "total" computation of the behaviours of the individual subsystems, together with their mutual interactions...")
17:40, 30 October 2022 Gianni talk contribs created page System logic - it (Created page with "{{transl}} Motor Evoked Potential of the ipsilateral Trigeminal Root |alt=|thumb|250px|left This chapter closes the loop of the 'Logic of medical language' to introduce a diagnostic model in the field of masticatory functions that combines the conceptuality of system logic with quantum mechanics. The statistical mathematical models of a system logic, therefore, cannot be subjective, nor approximate, much less vagu...")
13:05, 30 October 2022 Gianni talk contribs created page Store:FLit06 (Created page with "==Final considerations== Topics that could distract the reader’s attention were, in fact, essential for demonstrating the message. Normally, indeed, when any more or less brilliant mind allows itself to throw a stone into the pond of Science, a shockwave is generated, typical of the period of Kuhn’s extraordinary science, against which most of the members of the international scientific community row. With good faith, we can say that this phenomenon—as regards the...")
13:04, 30 October 2022 Gianni talk contribs created page Store:FLit05 (Created page with "==Fuzzy set <math>\tilde{A}</math> and membership function <math>\mu_{\displaystyle {\tilde {A}}}(x)</math>== We choose - as a formalism - to represent a fuzzy set with the 'tilde':<math>\tilde{A}</math>. A fuzzy set is a set where the elements have a 'degree' of belonging (consistent with fuzzy logic): some can be included in the set at 100%, others in lower percentages. To mathematically represent this degree of belonging is the function <math>\mu_{\displaystyle {\til...")
13:04, 30 October 2022 Gianni talk contribs created page Store:FLit04 (Created page with "===Set operators=== Given the whole universe <math>U</math> we indicate with <math>x</math> its generic element so that <math>x \in U</math>; then, we consider two subsets <math>A</math> and <math>B</math> internal to <math>U</math> so that <math>A \subset U</math> and <math>B \subset U</math> {| |left|80px |'''Union:''' represented by the symbol <math>\cup</math>, indicates the union of the two sets <math>A</math> and <math>B</math> <math>(A\cup B...")
13:03, 30 October 2022 Gianni talk contribs created page Store:FLit03 (Created page with "==Set theory== As mentioned in the previous chapter, the basic concept of fuzzy logic is that of multivalence, i.e., in terms of set theory, of the possibility that an object can belong to a set even partially and, therefore, also to several sets with different degrees. Let us recall from the beginning the basic elements of the theory of ordinary sets. As will be seen, in them appear the formal expressions of the principles of Aristotelian logic, recalled in the previous...")
13:02, 30 October 2022 Gianni talk contribs created page Store:FLit02 (Created page with "==Fuzzy truth== In the ambitious attempt to mathematically translate human rationality, it was thought in the mid-twentieth century to expand the concept of classical logic by formulating fuzzy logic. Fuzzy logic concerns the properties that we could call ‘graduality’, i.e., which can be attributed to an object with different degrees. Examples are the properties ‘being sick’, ‘having pain’, ‘being tall’, ‘being young’, and so on. Mathematically, fuzz...")
12:56, 30 October 2022 Gianni talk contribs created page Store:FLit01 (Created page with "==Introduction== We have come this far because, as colleagues, are very often faced with responsibilities and decisions that are very difficult to take and issues such as conscience, intelligence and humility come into play. In such a situation, however, we are faced with two equally difficult obstacles to manage that of one <math>KB</math> (Knowledge Basis), as we discussed in the chapter ‘Logic of probabilistic language’, lim...")
12:52, 30 October 2022 Gianni talk contribs created page Fuzzy logic language - it (Created page with "{{transl}} left|thumb|275x275px In this chapter, we will discuss '''fuzzy logic'''. It is called ''fuzzy'' because it is characterized by a gradualness: an object can be attributed a quality that can have ''various degrees of truth''. In the first part of this chapter, the meaning of graded truth will be conceptually discussed, while in the second part, we will delve into the mathematical formalism by introducing the membership function <math>\mu_...")
09:47, 30 October 2022 Gianfranco talk contribs created page Template:TN/de (Created page with "Die Übersetzung dieser Seite ist noch nicht vollständig; schlagen Sie Ihre eigene Übersetzung auf der [[{{TALKPAGENAME}}|Diskussionsseite]] vor.")
09:46, 30 October 2022 Gianfranco talk contribs created page Template:TN/es (Created page with "La traducción de esta página aún no está completa; proponga su propia traducción en la [[{{TALKPAGENAME}}|página de discusión]].")
09:46, 30 October 2022 Gianfranco talk contribs created page Template:TN/fr (Created page with "La traduction de cette page n'est pas encore complète ; proposez votre propre traduction sur la [[{{TALKPAGENAME}}|page de discussion]].")

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