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Canonical Jātaka Tales in Comparative Perspective
Canonical Jātaka Tales in Comparative Perspective

... trsl. in Sahai 1996: 326); whereas another Lao version (trsl. in Sahai 1976: 34-74; cf. also Deydier 1952) does not take the form of a jātaka. Malaysian versions (summarized in Stutterheim 1925: 28-63 or Zieseniss 1928: 7-64) do not take the form of a jātaka (though similar to the Dasaratha-jātaka, ...
CHAPTER 1 The Foundations: Logic and Proof, Sets, and Functions
CHAPTER 1 The Foundations: Logic and Proof, Sets, and Functions

... construction of a valid proof is an art, honed after much practice. There are two problems for the beginning student—figuring out the key ideas in a problem (what is it that really makes the proposition true?) and writing down the proof in acceptable mathematical language. Here are some general thin ...
dhamma texts - International Meditation Centres
dhamma texts - International Meditation Centres

... These talks were actually the second occasion for Sayagyi to talk in public on Buddhist Meditation, as he pointed out in a letter to Mr Thorpe, dated September 22, 1951: “As you know, the first address written and made by me to a semipublic body was when I met Dr Malasekera. This is going to be my s ...
6.042J Chapter 1: Propositions
6.042J Chapter 1: Propositions

... and z have more than 1000 digits! Even the world’s largest computers would not be able to get that far with brute force. Of course, you may be wondering why anyone would care whether or not there is a solution to 313.x 3 C y 3 / D z 3 where x, y, and z are positive integers. It turns out that findin ...
Sarkar on the Buddha`s Four Noble Truths
Sarkar on the Buddha`s Four Noble Truths

... cycle of life, death, and rebirth (saṁsara). The goal of each sentient being is thus to eradicate this ignorance-craving complex and free itself from saṁsara now and forever. Each individual may take this soteriological quest as his/her goal, but the universe as a whole does not proceed toward any f ...
Down This Talk - Three Wheels Temple
Down This Talk - Three Wheels Temple

... After Genshin first introduced this system, a number of nijugosammaiko rapidly sprung into being. They would have a special house for funerals and when one of the group was dying, this dying person would be brought to this house and there would be a special ritual for his or her rebirth in the Pure ...
Questioning Karma: Buddhism and the Phenomenology of the
Questioning Karma: Buddhism and the Phenomenology of the

... result. Causation cannot entail the necessity of a destiny or fate without exception insofar as these words mean what must happen regardless of what one does, says or thinks. The possibility that one’s action might make a difference distinguishes Buddhist karma from the niyati of Ájivaka, for whom t ...
Theravada Buddhism: A Social History from Ancient Benares to
Theravada Buddhism: A Social History from Ancient Benares to

... Sangha. This institution not only consists of those who have decided to devote their lives to striving for Enlightenment; it also preserves the memory of the Buddha’s Teaching. Thus, in a metaphor central to Buddhism, the Buddha is the great physician, the Dhamma is the remedy he prescribes, the San ...
Theravada Buddhism: A Social History from Ancient Benares to
Theravada Buddhism: A Social History from Ancient Benares to

... Sangha. This institution not only consists of those who have decided to devote their lives to striving for Enlightenment; it also preserves the memory of the Buddha’s Teaching. Thus, in a metaphor central to Buddhism, the Buddha is the great physician, the Dhamma is the remedy he prescribes, the San ...
Self-Defense in Asian Religions
Self-Defense in Asian Religions

... personal, intelligent, or active god, although some adherents may believe in one or more such gods. A second difference is that Judaism, Christianity, and Islam are generally considered mutually exclusive. A person would not say “I am an Islamic Christian.” There are some very small cross-over group ...
Propositional Logic
Propositional Logic

... Every logic comprises a (formal) language for making statements about objects and reasoning about properties of these objects. This view of logic is very general and actually we will restrict our attention to mathematical objects, programs, and data structures in particular. Statements in a logical ...
Encyclopedia of Religion and Nature
Encyclopedia of Religion and Nature

... The Tibetan form of Buddhism is the dominant religious system throughout the Tibetan plateau, and is also widespread in surrounding areas, particularly Mongolia, northern Nepal, Bhutan, areas of Central Asia and Russia, and the northern Indian regions of Sikkim and Ladakh. Buddhism was first introduc ...
Document
Document

...  Q0, Q1, ... , Qn+1, ... are queries, each empty or with one atom selected in it;  θ1, θ2, ... , θn+1, ... are substitutions;  c1, c2, ... , cn+1, ... are clause of P;  For every SLD-derivation step, standardisation apart holds. ...
Q 0 - SSDI
Q 0 - SSDI

... - Assume that the first i steps of the successful derivation ξ are similar to the first i steps obtained by using rule R.. - Assume further that in the i+1th step ξ selects atom A in Qi, whereas rule R selects atom B. - Since B must be selected in some subsequent step j of ξ (i +1  j  n), it is ξ ...
BUDDHIST DEITIES AND MANTRAS IN THE HINDU TANTRAS: I
BUDDHIST DEITIES AND MANTRAS IN THE HINDU TANTRAS: I

... Tantric texts and that the Hindu Tantras are borrowed from the Buddhist Tantras. Bhattacharyya addresses not only the iconography but also the deity mantras on the basis of such texts as the Sādhanamālā (SM). He concludes that Chinnamastā and the eight manifestations of Tārā known as Tārā, U ...
What did Siddhartha realise when he became enlightened?
What did Siddhartha realise when he became enlightened?

... but Siddhartha responded by developing even deeper concentration. In this way he triumphed over all the demons of this world, avoiding all distraction, craving and temptation and became enlightened. Mara claimed that the enlightenment rightfully belonged to him and not to the mortal-man Siddhartha. ...
Argumentative Approaches to Reasoning with Maximal Consistency
Argumentative Approaches to Reasoning with Maximal Consistency

... Figure 1: An argumentation framework with five arguments and six attacks. When it comes to applications, it is often useful to provide a specific account of the structure of arguments and the concrete nature of argumentative attacks. For this we follow the sequent-based approach introduced in (Ariel ...
Section 1: Propositional Logic
Section 1: Propositional Logic

... of the equivalent statement forms ∼q ⇒ ∼p or p ⇒ q, whichever is most convenient for the discussion at hand. • if and only if: The biconditional, p ⇔ q is sometimes stated as “p if and only if q” and written “p iff q”. • sufficient: The expression, “p is sufficient for q”(or “p is a sufficient condi ...
Proof theory for modal logic
Proof theory for modal logic

... to atomic formulas. The rule is then admissible for all formulas in the fragment without disjunction and the existential quantifier. Since in classical logic these are definable from the other connectives, one obtains in this way a normalizing system for classical logic. It remained, however, an ope ...
pdf
pdf

... between them. As we showed in earlier work (Halpern, 2001; Halpern and Rêgo, 2008), the work of MR and HMS can be seen as a special case of the FH approach, where two assumptions are made on awareness: awareness is generated by primitive propositions, that is, an agent is aware of a formula iff he ...
Modal Logic - Web Services Overview
Modal Logic - Web Services Overview

... Syntax of Modal Logic (□ and ◊) Formulae in (propositional) Modal Logic ML: • The Language of ML contains the Language of Propositional Calculus, i.e. if P is a formula in Propositional Calculus, then P is a formula in ML. • If  and  are formulae in ML, then ...
The Unintended Legacy of Hellenism
The Unintended Legacy of Hellenism

... To fully understand the significant development of the anthropomorphic Buddha, it is imperative to examine earlier conceptions of deities in Buddhism as well as preceding religions. Before Buddhism, a long tradition of Vedism (the precursor to Hinduism) was firmly rooted in the Indian subcontinent. ...
Topological Completeness of First-Order Modal Logic
Topological Completeness of First-Order Modal Logic

... a completeness proof for first-order S4 modal logic with respect to topologicalsheaf semantics of Awodey-Kishida [3], which combines the possible-world formulation of sheaf semantics with the topos-theoretic interpretation of the 2 operator and of other symbols. Hence the logic we consider has the f ...
On Dummett`s Pragmatist Justification Procedure
On Dummett`s Pragmatist Justification Procedure

... argument. In the proper part, in addition to the principal assumption, all other assumptions are principal assumptions of proper subarguments. In the context of canonical arguments, I call them, collectively, proper assumptions. Definition 5. The degree of a sentence A is the number of logical const ...
orthodox chinese buddhism
orthodox chinese buddhism

... Buddhist organization that Sheng Yen founded. The original target audience for the book was Taiwanese intellectuals in the 960s. Yet the questions Sheng Yen raises have continued to be engaging to Chinese-speaking people, both Buddhists and those interested in Buddhism, to the present day. We since ...
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Catuṣkoṭi

Catuṣkoṭi (Sanskrit; Devanagari: चतुष्कोटि, Tibetan: མུ་བཞི, Wylie: mu bzhi) is a logical argument(s) of a 'suite of four discrete functions' or 'an indivisible quaternity' that has multiple applications and has been important in the Dharmic traditions of Indian logic and the Buddhist logico-epistemological traditions, particularly those of the Madhyamaka school. Robinson (1957: pp. 302–303) states (negativism is employed in amplification of the Greek tradition of Philosophical skepticism):A typical piece of Buddhist dialectical apparatus is the ...(catuskoti). It consists of four members in a relation of exclusive disjunction (""one of, but not more than one of, 'a,' 'b,' 'c,' 'd,' is true""). Buddhist dialecticians, from Gautama onward, have negated each of the alternatives, and thus have negated the entire proposition. As these alternatives were supposedly exhaustive, their exhaustive negation has been termed ""pure negation"" and has been taken as evidence for the claim that Madhyamika is negativism.In particular, the catuṣkoṭi is a ""four-cornered"" system of argumentation that involves the systematic examination and rejection of each of the 4 possibilities of a proposition, P: P; that is, being. not P; that is, not being. P and not P; that is, being and not being. not (P or not P); that is, neither being nor not being.It is interesting to note that under propositional logic, De Morgan's laws imply that the fourth case (neither P nor not P) is equivalent to the third case (P and not P), and is therefore superfluous.
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