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(Introduction to Predicate Logic) Give examples of English sentences that can be modeled using predicate logic but cannot be modeled using propositional logic. (Translations) Translate an English sentence into a predicate formula. Translate a predicate formula into an English sentence. CS 245 Logic and Computation Fall 2019 3 / 37

Chapter 4: Translations in Sentential Logic 93 2. THE GRAMMAR OF SENTENTIAL LOGIC; A REVIEW Before proceeding, let us review the grammar of sentential logic. First, recall that statements may be divided into simple statements and compound statements. Whereas the latter are constructed from smaller statements using statement connec-

So the best ``logical paraphrase'' of this example is something like ``for every pair of things x and y, if x can do y, then x does y; ...

predicate logic reveals much more logical structure in English sentences than does sentential logic, monadic logic often does not reveal enough logical structure. Consider the following argument. (A) Every Freshman is a student /Anyone who respects every student respects every Freshman If we symbolize this in monadic logic, we obtain the following.

In the above definition, the script letters stand for arbitrary strings of symbols. So for example, clause (2) says that if you have a string A of symbols, then ...

Translating into logic is a skill that takes ... a lot easier to approach logic translations. ... For example, this part of the formula is easy to translate ...

We are still not able to translate fully Aristotle's argument. It began: All men are mortal. What does this “all” mean? Let's start with a simpler example.

For another example of how to use the dictionary, suppose I gave you the sentence,. "Keoni will make the Dean's List this year, provided that he receives at ...

Give examples of English sentences that can be modeled using predicate logic but cannot be modeled using propositional logic. (Translations).

To see why, we should think about some concrete examples. Let 'R' stand for 'Donald Trump is rich' and 'G' stand for 'Donald Trump is generous'.

The two translations in 41.i are equivalent, not because the subject of the two components is the same (cats), but because the quantifier appropriate to each component is the same (universal) and the operator joining the components is conjunction. For example: "All cats are mammals, but no dogs are birds".

But the horseshoe operator expresses neither definition nor causation, only implication. Moreover, not all senses of logical implication in English are ...

Exercises: Translation practice in propositional logic (with answers) Pick a capital letter to represent each simple statement, and represent the following statements symbolically, using the tilde, dot, wedge, horseshoe and triple bar.

Basic Symbols

1. Mark Twain wrote Huckleberry Finn as well as Letters from the Earth. 2. If Sam Clemens called himself “Mark Twain,” he should have put it in quotation marks. 3. Twain wrote Letters from the Earth but he did not write Ecce Homo. 4.

Chapter 4: Translations in Sentential Logic 93 2. THE GRAMMAR OF SENTENTIAL LOGIC; A REVIEW Before proceeding, let us review the grammar of sentential logic. First, recall that statements may be divided into simple statements and compound statements. Whereas the latter are constructed from smaller statements using statement connec-

(Introduction to Predicate Logic) Give examples of English sentences that can be modeled using predicate logic but cannot be modeled using propositional logic. (Translations) Translate an English sentence into a predicate formula. Translate a predicate formula into an English sentence. CS 245 Logic and Computation Fall 2019 3 / 37

07.10.2016 · This example is taken from Versatile Mathematics, an OER textbook created at Frederick Community College. The book can be found at http://hartleymath.com/ve...

do a translation, you'll fnd that it's a lot easier to approach logic translations. Let's illustrate this with an analogy. Take a look at this Java code.

CQ Translating English into Predicate Logic Let the domain be the set of animals. H(x) means that x likes honey. B(x) means that x is a bear. Consider the following translations of English sentences into predicate logic formulas. Are the translations correct? 1. At least one animal likes honey. (9x H(x)). 2. Not every animal likes honey. (:(8x ...