But taking it at face value, how can we be sure that only one logic will "capture all and only consequences that obtain among meaningful sentences." If one logic has "Γ ⊨ φ" and another has Γ' ⊭ φ, what is our basis for choosing which is the One, True? Not either Γ or Γ', without circularity. Some third logic? And again, Which? Does the monograph address this? Are we faced with an explosion of logics?
If logical monism is the view that all logical systems are commensurable, then there is presumably some notion of translation that works between them all.
The intuitive concept of logical consequence has many different, incompatible, strands. One reaction to this situation is logical pluralism: roughly, the pluralist endorses different logics as capturing different precisifications of the rough intuitive conception. In this chapter, we define logical pluralism and its contrary logical monism.
The target notion is logical consequence in meaningful discourse and its possible extensions. But the model-theoretic definition is of course defined for formal languages. A crucial component of any account of logical consequence is therefore formalization: the process by which we move between meaningful and formal (meaningless) sentences and arguments. We define a logic as a true logic, roughly, when formalizations into it capture all and only consequences that obtain among meaningful sentences.
Logical monists claim that there is one true logic. Logical pluralists claim that there are many. We define logical pluralism more precisely as the claim that at least two logics provide extensionally different but equally acceptable accounts of consequence between meaningful statements. Logical monism, in contrast, claims that a single logic provides this account
I suppose there's a distinction between "having the same underlying concepts of truth and meaning and law" and "having different laws", maybe all the systems we've created, despite proving different theorems, have proof and truth as analogous family-resemblance style concepts in them. Maybe they have a discoverable essence.
Not that I'm persuaded.
But there is also a moral component if the immigrant is also a supplicant. And the matter of refugees who arguably have no choice even a separate matter. Your views (near as I can tell) are reductionist, legalistic, amoral, and inhuman. Which to be sure the law in part has to be. But not entirely.
It may be bias on my part, but I believe the concepts of guest and stranger are the most highly developed in Arab lands. That is, both the guest and the stranger are treated with respect and courtesy, in ways that do not exist in most western countries. And partner with that is the expectation that the guest and the stranger will themselves meet certain standards of behavior. I would like to see something like that employed at the US Southern border: respect, courtesy, concern and care, and the possibility of entry on meeting certain conditions.
But... P & P => Q entails Q in propositional logic, who is denying this?
I don't think that's an issue at stake at all.
It could be, and I believe Gillian Russel lectures as if, there are valid arguments even if there are no principles which hold in complete generality. Because she specifies what context she's speaking in
I don't think logical pluralists are committed to that.
Everyone agrees what follows from what stipulations.
In effect this is a way of massaging the "complete generality" predicate in the OP's argument. You can restore a sense of "complete generality" by using lemmas, by speaking about something ultra specific and formalised you can guarantee that it works in that way for that system, the latter applies without exception. Applies without exception in the sense that "fdrake is sitting drinking tea now" is true at time of writing, and thus applies at that time without exception forever. Only "now" for those refined systems is a new lemma, allowing them to better specify their intended conceptual content.
Everyday intuitions about moral agency are also limited by the status of a person. Children (especially) and young adults are treated with more lenience for behaving in a socially unacceptable manner and for committing moral wrongs, children's legal status is also different. People's status as an agent may change if they go into a permanent coma, we have next of kin rules, waivers, and even (arguably) the ability to extend our capacity for consent after our death with organ donation and wills. Moreover, unfertilised gametes and severed limbs are recognisably of the species homo sapiens and are not treated as moral persons - unless one is willing to admit that shagging, the normal functioning of fertilised ovums, menstruation and masturbation are each a peculiar brand of industrial slaughter.
And there is a formalistic definition of truth, a statement is true in a theory when that statement holds in every model of that theory. Like "swans are birds" is true because there are no swans which are not birds, but "swans are white" is false because there are swans which are not white.
I would posit that axioms can be considered to be correct when they entail the intended theorems about the object you've conceived.
Whether you have true premises is a different issue. When you stipulate axioms, you treat them as true. Are they true? Upon what basis can they be considered as such?
How would you compare Peano Arithmetic and Robinson Arithmetic, for example? Which one is true? Is one "more true" than another? What about propositional logic and predicate calculus? These aren't rhetorical questions btw.
Ok, so you want a rational way to compare logical systems, an I think this is not the way to talk about the issue. I'll try again.
You raised valid concerns about the level and impacts of migration. However you are pinpointing negatives about them where I believe if you look at a broader picture, the benefits often outweigh the challenges:
That looks like a stripe of logical pluralism.
support
Leon seems guilty of making a strong assertion in favor of the PNC being conclusive
but that it doesn't map neatly onto the sensible world
It ought be the person carrying the blastocyst who has the main say in what to do with it.
All this is insubstantial in the argument I presented to you. We have on the one hand a woman, perhaps a nurse, perhaps a CEO, perhaps a sister, mother, daughter, perhaps a care giver or volunteer. Someone who can express their needs, who makes plans and seeks to fulfil them and who has a place in our world.
We have on the other hand, a group of cells.
That you value those cells over the person who must carry them is heinous.
Utility in the eye of the beholder.
The actual truth-value of these sentences isn't in question when talking about logic. It's the form between the sentences under the assumption that if the premises are true that the conclusion follows. But since the moon is not made of green cheese the question of being -- what is -- differs from the question of validity, and logic is this study of validity.
Pick up a length of pipe. Look at it from the side and it's rectangular. Look at it straight on, it's circular. Done.
What you'll be paid for is tracking patterns which people like to track, which usually involves manipulating the world in some way which we perceive as regular.
I don't exactly object to classical logic, though -- I'm saying it has limitations, not that it's wrong in every case.
Unfortunately, Anaxagoras’ mistake is still alive and well in his reductive physicalist descendants. Sam Harris’ The Moral Landscape is a prime example here. Throughout the book, Harris points out that feelings of suffering or challenges to human flourishing can be correlated with changes in the brain. For instance, children in foster care show elevated stress hormone levels when compared to children from unseparated families. From this he draws the conclusion that “neuroscience” and “knowledge of the brain,” is the key to understanding morality, since morality relates to human well-being, and our experience of well-being relates to neuronal activity.
Harris would do well to reflect on Aristotle’s dictum that the “specific and concrete will be 'better known to us,' whereas what is more general will be that which is 'better known in itself.'"6 To be sure, Harris is correct that there are things we can learn about human flourishing and the human good from studying the brain (pace the common post-modern claim that the Good is simply arbitrary social convention). And it is certainly in some ways easier to study concrete phenomena, such as hormone levels, rather than general principles. However, Harris’ reductive account of morality is akin to claiming that we are best able to understand flight (the principles of lift, etc.), by looking at the individual cells making up the wings of all the animals that fly (i.e. a focus on the "many," to the exclusion of any unifying "one.")
Yet this is demonstrably not the best way to understand flight or lift. We did not learn to build machines that would let us fly through an intensive study of the chemistry at work in insect or bird wings. Rather we mastered the more general generating principles at work across all instances of heavier than air flight in nature. The fact that “the cells in insects' wings are necessary for flight” need not compel us to conclude that flight is best understood through a study of these cells, just as the fact that we need our brains to “know the Good” need not suggest that the Good is itself something that can be best known through studying neurons.
So the categorical statement that "asbestos causes disease" is categorically false. And this, really, isn't about asbestos or any thing else. It is about the usage and understanding of language and the traps and rabbit holes that people can fall into or walk into eyes wide shut.
The difference I intend between pure (as such) logic and applied (transcendental) logic is that we can do logic without addressing questions of being, whereas the latter gets into the weeds of various philosophical questions (but simultaneously presupposes a logic to get there). Logic is an epistemic endeavor dealing with validity whereas the question of the relationship of logic to being is getting more into metaphysics rather than logic.
And simultaneously hold that there is no relationship between logic and being -- i.e. that the One True Logic is the result of the structure of knowledge requiring this or that axiom, but could still be anti-realist projections which have no relationship to being.
The purpose and scope of logic is certainly being considered by logicians, it's just that these are different questions. (also -- I, for one, am all for a socialist feminist biology for the winter months :D )
Why does a placenta not count as a "proper whole with proper parts"?
Yes, but let's take different forms of living organism; bacteria, zygote, placenta, foetus
Do you mean that it can survive on its own? Because a (young) foetus certainly can't
