In The Logical Structure of the World, Rudolph Carnap attempts to show how a "constructional system" can be built the purpose of which is "to order the objects of all sciences into a system according to their reducibility to one another." ❋ Unknown (2009)
But in a sense it is the very ubiquity of computational irreducibility that forces there to be only small islands of computational reducibility — which can readily be identified even from quite vague linguistic input. ❋ Unknown (2009)
Anti-reductionism, not even having an eye for reducibility Turner, 196? ❋ Daniel Little (2009)
No. To see why it is not, notice that the ascription of limitations and confusions to his logical theory depends almost entirely on taking a special point of view on the nature of logic, namely the viewpoint of Fregean and Russellian logicism, which posits the reducibility of mathematics (or at least arithmetic) to some version of second-order logic. ❋ Hanna, Robert (2009)
But what we have to hope is that a candidate universe that we “catch in our net” will have enough reducibility that we can tell that it really is our universe. ❋ Unknown (2007)
In philosophical arguments concerning the reducibility or otherwise of the human mind, Dennett's concept pokes fun at the idea of intelligent design emanating from on high, either originating from God, or providing its own grounds in an absurd, Münchhausen-like bootstrapping manner. ❋ Steve Caldwell (2008)
Or are you happy to accept the reducibility, and just regard corporate entity status as a convenient sort of short-hand for certain arrangements of interlocking individual rights claims? ❋ Unknown (2008)
Rather, if Moore is right then the so-called naturalistic fallacy actually embodies a mistaken belief about the reducibility of goodness, perhaps the belief that ˜good™ just means ❋ Ridge, Michael (2008)
Weber (2005) acknowledges that higher level features are multiply realizable, yet this does not hamper the reducibility of token systems or individual organisms: ❋ Brigandt, Ingo (2008)
But the points raised here about diversity of experience and the non-reducibility of one writer's literature to a formula are also valid when we consider ascriptions of social identities. ❋ Daniel Little (2008)
The axiom of reducibility (AR) states that every propositional function is equivalent, for all its values, to a predicative function of the same variables. ❋ Cantini, Andrea (2007)
Interestingly, Hilbert sticks essentially to type theory (he does not lecture upon Zermelo's system); he defines the ramified theory of types with the axiom of reducibility, proving that certain parts of mathematics can be carried out in the system (on Russell's influence, see Mancosu, 2003). ❋ Cantini, Andrea (2007)
These philosophers emphasized the rhetoric of historical writing, the non-reducibility of historical narrative to a sequence of ❋ Little, Daniel (2007)
For example, the status of organisms in the biological sciences has been the subject of a recent symposium at the PSA Biannual Meetings (Ankeny 2000, Laublicher and Wagner 2000, Richardson 2000, Shaffner 2000, J. Wilson 2000), with discussion there of the role of model organisms in biology and of the eliminability or reducibility of talk of organisms in biology, in addition to some of the topics I have discussed here. ❋ Wilson, Robert A. (2007)
The rejoinder to this is that the similarity that Frascolla, Black and Savitt recognize does not make Wittgenstein's theory a “kind of logicism” in Frege's or Russell's sense, because Wittgenstein does not define numbers “logically” in either Frege's way or Russell's way, and the similarity (or analogy) between tautologies and true mathematical equations is neither an identity nor a relation of reducibility. ❋ Rodych, Victor (2007)
On the other hand, Chwistek proposed a version of the Liar that can be reconstructed in the simple theory of types without the axiom of reducibility, once we are allowed to quantify over all propositions. ❋ Cantini, Andrea (2007)
This is the issue of reducibility which you bring up, and which Berlinski just barges through blindly. ❋ Unknown (2006)
In fact, I referred to current efforts in evolutionary biology as demonstrating the continued reducibility of irreducible complexity. ❋ Christopher O'Brien (2006)
Though not a violent man, [Aston Villa] centre half [Olof] [Mellberg] knew that unless he dished out a reducer or two, tricky Manchester United winger, cristiano ronaldowould probably take the piss out of him every time the ball was nearby. ❋ Nayson (2005)
Janice: Marcus why the hell you eat my [last piece of cheesecake]!
Marcus: aye bro imma need you to reduce fa me alright you don't need to do all that
Tina: Oh my gosh Jason! Come here [give me a hug]!
Jason: aye yo Tina reduce I don't feel like all that
Guy: Aye [waddup] baby lemme buy you a drink
Girl: uh nigga reduce please with yo ugly ass ❋ Drizzydrakus (2014)
Have you noticed that [Joyce] is reducing? She now looks [half-way] decent in her tiny-weenie polka-dotted [bikini]. ❋ Richard Black (2005)
like going from a healthy [young adult] with a job and money to falling in a [downward spiral] with no friends and no home and being reduced to eating [potato chips] and drinking beer while watching wrestling shows, comedy and playing video games ❋ THE TOILET OF LIFE (2008)
"[Why do] you always [act like] your [Reduced]." ❋ TCW00dy (2004)
This will reduce the [chances] that [someone else] finds a non-defined [word]. ❋ MarComiX (2009)
The [USFG] Should reduce [restrictions] on legal [immigration] into the US ❋ AnthonyAguerosMom (2019)
Bert: Observe the chav with the IQ reducer and [GTI] parked outside the bank. Clearly a cash point cripple
[Gert]: [Tosser] ❋ Bushwacka1973 (2011)
[SONIC REDUCER]
[THE DEAD BOYS]
I don't need anyone
Don't need no mom and dad
Don't need no pretty face
Don't need no human race
I got some news for you
Don't even need you too
I got my devil machine
Got my electronic dream
[Sonic reducer]
Ain't no loser
I'm a [sonic reducer]
Ain't no loser
---------------
Boy: PUNX NOT DEAD
girl: Yes it is, rap rules
boy: you suck, if nly you would swim away from the mainstream, and into the underground full of sonic reducers! ❋ Xsuite (2006)
[Charles] Riddlesolver [realized] that a [teacher] is an ignorance reducer. ❋ But For (2017)
