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Seeing causes and hearing gestures
Seeing causes and hearing gestures

... which enables language users to understand utterances of that sentence. 2. Davidson’s insight: Knowing the conditions under which a sentence is true is sufficient for understanding utterances containing that sentence. Therefore: 3. The meaning of a sentence is given by a statement identifying the co ...
PDF
PDF

... nj ...
The Coinductive Formulation of Common Knowledge
The Coinductive Formulation of Common Knowledge

... types which may contain infinite objects, constructed by guarded corecursion. Interpreted via the Curry-Howard correspondence, coinductive types are propositions whose proofs may be infinite, by coinduction. Naturally then, it would seem that a coinductive type be an ideal mechanism through which we ...
x - Agus Aan
x - Agus Aan

... • A propositional sentence is valid (TRUE) if and only if it is true under all possible interpretations in all possible domains. • For example: If Today_Is_Tuesday Then We_Have_Class ...
Deciding Intuitionistic Propositional Logic via Translation into
Deciding Intuitionistic Propositional Logic via Translation into

... knowledge stage w1 accessible from w0 with w1 I1 ∧ I2 (and thus w1 I1 as well as w1 I2 ) but w1 6 c. From w1 I1 , i.e. w1 (a ⇒ b) ⇒ c and w1 6 c we obtain the refinement w1 6 a ⇒ b which is indicated by the arrow at w1 in fig. 2. So we need to refine our countermodel by adding another knowledge stag ...
A non-standard Semantics for Inexact Knowledge with Introspection
A non-standard Semantics for Inexact Knowledge with Introspection

... Williamson shows, validity in fixed margin models is axiomatized by the normal logic KTB, namely the logic of reflexive-symmetric frames, and neither axiom 4 nor axiom 5 is valid in fixed margin models, by obvious failures of transitivity and euclidianity for the distance function.1 Whether this con ...
Group knowledge is not always distributed (neither is it always implicit)
Group knowledge is not always distributed (neither is it always implicit)

... The intuition behind this notion is best illustrated by an example. Let the formula w denote the proposition that P ± NP. Assume that three computer scientists are working on a proof of this proposition. Suppose that w follows from three lemmas: c1 , c2 and c3 . Assume that scientist 1 has proved c1 ...
Artificial Intelligence Chapter 4: Knowledge Representation
Artificial Intelligence Chapter 4: Knowledge Representation

... which knowledge is represented as propositions. Further, these propositions can be joined in various ways using logical operators. These expressions can then be interpreted ...
Can Activist Scholars Learn Research Methods from Rumi
Can Activist Scholars Learn Research Methods from Rumi

... It is possible to see the philosopher-poets of the East as pre-modern activist scholars. The philosopher-poet traditions in the East deliberately broke with the language of scholars to make philosophy accessible to ordinary people through combinations of poetry and stories. Rumi was accused by his ...
INTERPLAYS OF KNOWLEDGE AND NON
INTERPLAYS OF KNOWLEDGE AND NON

... denying contingency (∆ϕ := ϕ ∨ ¬ϕ, where  has an alethic reading as it is logically necessary that). (Non-)contingency logics can be translated into classical normal modal logics and they are sound and complete with respect to some given class of Kripke frames, in the same way normal modal logics ...
Document
Document

... The conclusion: “what a fun game!” Another conclusion: If the available information is correct, the conclusion is guaranteed to be correct. CS 471/598, CBS 598 by H. Liu ...
Uncertainty 99 - Microsoft Research
Uncertainty 99 - Microsoft Research

... Csiszár [1] showed in a much more general measuretheoretic approach that this IPF converges to a unique solution P* if all restrictions in (5) are consistent. Otherwise we call the rules in (3) inconsistent, they are contradictory. We shall treat this case in the next section. There might be a weake ...
IS COMMON KNOWLEDGE OF RATIONALITY SLUGGISH? 1
IS COMMON KNOWLEDGE OF RATIONALITY SLUGGISH? 1

... 6Kripke models serve as set theoretic semantics of knowledge. In such models a set of states is endowed with the binary relationship of accessibility for each player. Knowledge operators are easily defined in Kripke models. The event Ki E consists of each state from which only states in E can be acce ...
Samsakaara of Upanayanam/YajnyoPaveetam/MekhalAa Rabinder
Samsakaara of Upanayanam/YajnyoPaveetam/MekhalAa Rabinder

... which arises the gross, subtle, and causal, or as speech from which arises Pashyanti, vAc, MadhyamikA vAc and the vaikhari vAc. Which comprises the whole material universe.Then it points to that ultimate reality as the source of all inner light, and pray for filling the individual with that light, h ...
A Logic of Explicit Knowledge - Lehman College
A Logic of Explicit Knowledge - Lehman College

... Now we drop the operator K from the language, and introduce a family of explicit reasons instead— I’ll use t as a typical one. Following [1, 2] I’ll write t:X to indicate that t applies to X—read it as “X is known for reason t.” Formally, if t is a reason and X is a formula, t:X is a formula. Of cou ...
Knowledge Representation
Knowledge Representation

... •  X P(X) means that P(X) must be true for every object X in the domain of interest. •  X P(X) means that P(X) must be true for at least one object X in the domain of interest. • So if we have a domain of interest consisting of just two people, john and mary, and we know that tall(mary) and tall(j ...
Discrete Computational Structures (CS 225) Definition of Formal Proof
Discrete Computational Structures (CS 225) Definition of Formal Proof

... 2. A result of applying one of the logical equivalency rules (text, p. 35) to a previous statement in the proof. 3. A result of applying one of the valid argument forms (text, p. 61) to one or more previous statements in the proof. ...
Actionable Knowledge
Actionable Knowledge

... systems incorporating artificial intelligence. The existence of an Infoworld is taken for granted in this study. Such existence is in accordance with empirical evidence from the well-known discipline of information systems and networks. Thus, knowledge is, to a good degree, the result of our interac ...
Lecture 1 in power point - Computer Science at RPI
Lecture 1 in power point - Computer Science at RPI

... for lunar as well solar months. Astrology also needed considerable mathematical calculations. ...
Vedanta Hinduism File
Vedanta Hinduism File

... Ramanuja (1040?-1137) is the major figure in this movement. He is convinced that Shankara’s monism is incoherent and removes any real knowledge of Brahman. Ramanuja is concerned to retain real distinctions within Brahman and he promotes the way of bhakti (devotion) as the preferred way of liberation ...
Thinking Mathematics for Early Grades, K
Thinking Mathematics for Early Grades, K

... MP 1. Make sense of problems. B. Revisit Research on Look for entry points. Multiple Strategies MP 2. Reason abstractly and C. Solution Analysis quantitatively. D. Common Errors ...
Ascetics and Upanishads - Comparative
Ascetics and Upanishads - Comparative

... transcendence of knowledge about oneself ...
knowledge and the problem of logical omniscience
knowledge and the problem of logical omniscience

... hear the question. For giving the last letter of the string abracadabra, the computation is fast and one notices no hesitation. For deciding whether the number of letters is a prime, more time is needed, and one is conscious of the computation. A similar situation arises with understanding English. ...
Glossary of Terms for Siddhartha
Glossary of Terms for Siddhartha

... Later it came to represent the Hindu triad, Vishnu, Siva, Brahma. Om often begins and ends prayers, chants and meditations. Prajapati: from Sanskrit prefix 'pra' plus root 'jan', to be born, produce, create and 'pati', father lord, etc. Hence the meaning 'Father of creation, Protector of Life'. Rig ...
Glossary of terms used in Siddhartha
Glossary of terms used in Siddhartha

... Nirvana: from the root 'nirva,' to blow out, extinguish. Hence, when all desires and passions are extinguished the highest bliss, reunion with the Supreme Spirit, may be experienced. The soul no longer returns to the cycle of death and rebirth. Om: pronounced (Aum); whole texts have been written on ...
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Nyāya Sūtras

The Nyāya Sūtras are an ancient Indian text of philosophy composed by Akṣapāda Gautama (also Gotama; c. 2nd century CE). The sutras contain five chapters, each with two sections. The core of the text dates to roughly 150 CE, although there are significant later interpolations.The Nyaya is sometimes called Tarka-Vidyā, the science of debate, Vāda-Vidyā, the science of discussion. Tarka is the special feature of the Nyāya. Thus some of its features and categories are better understood from that perspective. Gautama is sometimes given the honorific titles ""Akṣapāda"" (probably in the sense ""having his eyes fixed in abstraction on his feet"") and ""Dīrghatapas"" (""performing long penance""). He is also sometimes accorded the religious titles ""Ṛṣi"" or ""Maharṣi"".In the Nyāya Sutras Gautama developed and extended the Vaiśeṣika epistemological and metaphysical system through 528 aphorisms. Later commentaries expanded, expounded, and critically discussed Gautama's work, the first being by Vātsyāyana (c.450–500 CE), followed by the Nyāyavārttika of Uddyotakāra (c. 6th–7th century), Vācaspati Miśra's Tātparyatīkā (9th century), Udayana's Tātparyapariśuddhi (10th century), and Jayanta's Nyāyamañjarī (10th century).
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