By Ben Goertzel, Nil Geisweiller, Lucio Coelho, Predrag Janicic, Cassio Pennachin
ISBN-10: 9491216104
ISBN-13: 9789491216107
The overall challenge addressed during this e-book is a huge and demanding one: find out how to usefully take care of large storehouses of complicated information regarding real-world occasions. each of the most important modes of interacting with such storehouses – querying, information mining, facts research – is addressed via present applied sciences merely in very restricted and unsatisfactory methods. The impression of an answer to this challenge will be large and pervasive, because the domain names of human pursuit to which such storehouses are acutely correct is a number of and swiftly becoming. ultimately, we supply a extra unique therapy of 1 strength resolution with this classification, in response to our past paintings with the Probabilistic good judgment Networks (PLN) formalism. We exhibit how PLN can be utilized to hold out realworld reasoning, via a few useful examples of reasoning concerning human actions inreal-world events.
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Additional info for Real-World Reasoning: Toward Scalable, Uncertain Spatiotemporal, Contextual and Causal Inference
Sample text
Tn are terms, then f(t1 , . . ,tn ) is a term. • each term is obtained by a finite number of applications of the above rules. The set of atomic formulas over a signature (Σ, Π, arity) and a countable set of variables V is defined in the following way: • ⊥ and are atomic formulas; • if p is a predicate symbol and arity(p) = n, and if t1 , . , tn are terms, then p(t1 , . , tn ) is an atomic formula. • each atomic formula is obtained by a finite number of applications of the above rules. The set of formulas over a signature (Σ, Π, arity) and a countable set of variables V is defined in the following way: • each atomic formulas is a formula; • if A is a formula, then so is ¬ A; • if A and B are formulas, then so are A ∧ B , A ∨ B, A ⇒ B, A ⇔ B; • if A is a formula and v is a variable, then (∀ x)A and (∃ x)A are formulas; • each formula is obtained by a finite number of applications of the above rules.
In standard predicate, or first-order logic, statements have arbitrary propositional form (involving conjunctions, disjunctions, negations, . ) and arbitrary use of quantifiers (for instance, “for every man, there is a woman, such that for every man, . ”). Modern variants of term logic provide this same expressive flexibility. Pure predicate logic is a framework in which one can describe other theories. This framework is defined by the set of axioms and the set of inference rules (such as “if P and if P yields Q, then Q”).
Modern variants of term logic provide this same expressive flexibility. Pure predicate logic is a framework in which one can describe other theories. This framework is defined by the set of axioms and the set of inference rules (such as “if P and if P yields Q, then Q”). The proofs are sequences of derivation steps based on these axioms and rules. For example, one can represent in predicate logic and derive “not every man is a philosopher if and only if there is a man such that it is not a philosopher”.
Real-World Reasoning: Toward Scalable, Uncertain Spatiotemporal, Contextual and Causal Inference by Ben Goertzel, Nil Geisweiller, Lucio Coelho, Predrag Janicic, Cassio Pennachin
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