User contributions
5 November 2022
Store:EEMIit01
Created page with "== Abstract== An outstanding issue in cognitive neuroscience concerns how the brain is organized across different conditions. For instance, during the resting-state condition, the brain can be clustered into reliable and reproducible networks (e.g., sensory, default, executive networks). Interestingly, the same networks emerge during active conditions in response to various tasks. If similar patterns of neural activity have been found across diverse conditions, and ther..."
Store:EEMIen01
Created page with "== Abstract== An outstanding issue in cognitive neuroscience concerns how the brain is organized across different conditions. For instance, during the resting-state condition, the brain can be clustered into reliable and reproducible networks (e.g., sensory, default, executive networks). Interestingly, the same networks emerge during active conditions in response to various tasks. If similar patterns of neural activity have been found across diverse conditions, and ther..."
Exploring electroencephalography with a model inspired by quantum mechanics
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+1,704
4 November 2022
Store:FLes06
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..."
Store:FLde06
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..."
Store:FLes05
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..."
Store:FLde05
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..."
Store:FLde04
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..."
Store:FLes04
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..."
Store:FLes03
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..."
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..."
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..."
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..."
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..."
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..."
Fuzzy-Sprachlogik
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Lógica del lenguaje fuzzy
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Lógica del lenguaje fuzzy
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Lógica del lenguaje fuzzy
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"
Fuzzy-Sprachlogik
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..."
Fuzzy language logic
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Template:Cite book
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Template:Cite book
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Template:Cite book
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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..."
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..."
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..."
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..."
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..."
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..."
Logique du langage fuzzy
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+114
Logique du langage fuzzy
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..."
Logica di linguaggio fuzzy
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Logica di linguaggio fuzzy
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Template:Bookind2
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Template:Transl
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Logica di linguaggio fuzzy
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+3
3 November 2022
System logic
Masticatory System Logic
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System logic
Masticatory System Logic
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System logic
Masticatory System Logic
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System logic
Masticatory System Logic
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System logic
Masticatory System Logic
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System logic
Masticatory System Logic
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System logic
Systems Theory
+81
User:Gianfranco
Numeri sui contenuti
30 October 2022
The logic of the probabilistic language
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+12
The logic of the probabilistic language
Replaced content with "alt=|left|250x250px In this chapter, we will discuss the logic of language coupled with mathematical probability. We have seen that classical logic alone is insufficient to determine accurate diagnoses; hence, a conceptual and formal overview is given on why probability can be very useful. Providing illustrations of instances of clinical cases, we will see how the logic of probabilistic lang..."
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Template:Transl
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+26
La logica del linguaggio probabilistico
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−7
Template:Transl
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+74