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transitiveness

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transitiveness
ˈtransitiveness [f. as prec. + -ness.] The quality or state of being transitive; in quot. 1845, transitoriness.1845 J. H. Newman Ess. Developm. 71 A belief in the transitiveness of worldly goods. 1850 A. de Morgan in Trans. Cambr. Philos. Soc. (1856) IX. i. 104 The first [copular condition] is what ... Oxford English Dictionary
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transitivity
transiˈtivity [f. late L. transitīv-us transitive + -ity.] = transitiveness: see transitive 2, 6 and 7.1891 Cent. Dict., Transitivity, the character of being transitive, as a group. 1897 Monist Jan. 211 Not only is the relative of correspondence transitive, but it also possesses what may be called a... Oxford English Dictionary
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Demetrius Kantakouzenos
This experience evidently left an indelible impression on him, and he became obsessed with the transitiveness of life and the power of death. wikipedia.org
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Transitiveness of set sizes Given that: $$|A|\le|B|<|C|$$ Prove that: $$|A|<|C|$$ * * * I proved that: $$|A|\le|C|$$ By showing a $1:1$ function from $A$ to $C$, in the following way: $$\exists f:A\to B, \exists g:B...
Suppose $f:A\to C$ is a surjection and let $g:A\to B$ be an injection. $g$ has a partial inverse $g^{-1}:g(A)\to A$ and then $f\circ g^{-1}:g(A)\to C$ is onto. If we arbitrarily extend $f\circ g^{-1}$ to $B$, then we get a surjection from $B$ onto $C$, contradiction.
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How do you prove the transitiveness of xRy if 2 divides x + y The relation I have is xRy iff 2 | x + y on the set of positive integers (Z+) I intrinsically know that it is transitive, but I can't think of a way to ma...
assume that you have $xRy$ and $yRz$, and then prove that you also have $xRz$. because $xRy$ and $yRz$ then its says that $2 |(x+y)$ and also $2 |(y+z)$, then exists integers $m,k \in \Bbb Z^+$ s.t $$x+y = 2k\rightarrow x= 2k -y$$ and $$y+z=2m\rightarrow z=2m-y.$$ now, you can write that $$x+z = (2k...
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Macedonian grammar
speaking Macedonian verbs have the following characteristics, or categories as they are called in the Macedonian studies: tense, mood, person, type, transitiveness wikipedia.org
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transitive
transitive, a. (n.) (ˈtrɑːnsɪtɪv, ˈtræns-, -nz-) [ad. late L. transitīvus (Priscian), f. transit- (see transit) + -īvus, -ive; in F. transitif (16th c.). With sense 1 cf. OF. transitif transient (13th c. in Godef.).] † 1. Passing or liable to pass into another condition, changeable, changeful; passi... Oxford English Dictionary
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Minimal Transitive Closure Any binary relation over any set (finite or infinite) must has a transitive closure. Moreover, every binary relation must has a minimal transitive closure. Who proved this well-known result ...
Syllogism, and in particular of the Copula," _Transactions of the Cambridge Philosophical Society_ , **9** , (1850) p. 104: "The first is what I shall call _transitiveness
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intransitive
intransitive, a. (n.) (ɪnˈtrɑːnsɪtɪv, -æ-) [ad. L. intransitīvus not passing over (Priscian), f. in- (in-3) + trans-īre to pass over. Cf. F. intransitif.] 1. Gram. Of verbs and their construction: Expressing action which does not pass over to an object; not taking a direct object. (See transitive, n... Oxford English Dictionary
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を without a transitive verb? > I interpret this sentence's meaning as something like, "The letter ended up being seen by someone else." From what I understand, the verb is transitive, "to see." The verb should be...
This is the so-called "adversarial passive". I give a detailed explanation of passives (including the "adversarial" ones) here: > object marker in this {} sentence In your case: ⇓ **Active Sentence** : ⇓ ⇓ **Passive Sentence** : ⇓ That is to say, gets lifted to , and gets lifted to . As mentioned in...
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Transitive closure of relation Let $R$ be a binary relation on set X. Let us define the transitive closure of $R$, denoted by $S_R$ as follows: $xS_Ry$, if $xRy$ or there exist $x_1,x_2,…, x_m\in X$ such that $xRx_1...
Therefore, for transitiveness, $a_0 S_R a_0$. Hence $S_R$ is not ireflexive.
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What is wrong with the following "proof" that $\sim$ is reflexive? Let ~ be a symmetric and transitive relation on a set A. What is wrong with the folloing "proof" that $\sim$ is reflexive? > Proof: $a\sim b$ implie...
For example, the empty relation satisfies symmetry and transitiveness, but the lack of existence of something to "apply" them yields non-reflexivity.
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