It can't be inductive either, for we knew little about William Shakespeare's life to support the reading of the First Folio and Sonnets. Actually, assuming William Shakespeare as the true writer can't help reasoning any of the 154 sonnets.
For the Shakespeare authorship question (SAQ), we can only inference to the best explanation, i.e., to solve these cruxes by abductive reasoning.
Abductive reasoning is used in artificial intelligence. To solve the SAQ, my way will be, to think like a machine, primitively and logically, or to ask the right question a machine can process.
I build my own machine. Machine needs rules. Rules are initiated by questions. A question with best explanation is a right question, and eventually a rule. How to determine the best is the key.
Camel, Weasel, Whale
A simple observation (or a machine may think first):
- They all contain letter a, e, l.
- cAMEL, wEAsEL, wHALE all have four letters in HAMLEt.
- One can find letter m, t, h around Weasel to spell Hamlet:
HAMLET. Methinks it is like a Weasel. (MeTHinks wEAseL)
The same for Camel and Whale.
Camel-Weasel-Whale is a riddle. It shows that "Hamlet" contains major spelling of the three.
This may imply Hamlet owns the major nature of them, but the selection focuses more on spelling, which demonstrates how one-way anagram works in Shakespeare. This is the best explanation for Hamlet's Camel-Weasel-Whale,
Christopher Sly and his boy-wife Bartholomew
Christopher Sly reflects the life of Christopher Marlowe. It's hinted by the boy-wife's perfect anagram Bartholomew as Both-Marlowe. This is the best explanation for giving a wife to Sly called Bartholomew.
To affirm this anagram, Sly gives a riddled speech of his birth and "education":
What would you make me mad?
Am not I Christopher Sly,
old Sly's son of Burton-heath,
by birth a Peddler, by education a Cardmaker,
by transmutation a Bear-herd,
and now by present profession a Tinker.
Ask Marrian Hacket the fat Alewife of Wincot, if she know me not:
if she say I am not xiiii.d. on the score for sheer Ale,
score me up for the lyingst knave in Christendom.
What I am not bestraught: here's－－
This can only be solved by one-way anagram.
Fontibell and Diana CapiletShakespeare wastes no words. An unnecessary line or word is usually a hint for wordplay, e.g. Fontibell and Capilet in All's Well, that Ends Well:
BERTRAM. They told me that your name was Fontybell.Fontybell can spell Anne Boleyn except letter A, which is provided in "was."
DIANA. No, my good Lord, Diana.
BERTRAM. Titled Goddess, And worth it with addition: . . .
. . . otherwise a seducer flourishes and a poor Maid is undone.
Capilet hints at capital, with cap as head and let as to lose. Anne Boleyn was beheaded in 1536. Diana reflects Anne Boleyn.
Shakespeare seals names via one-way anagram in two steps:
1. Use letters of the target's name to find key words that can fit his behavior or character.2. Complete the target's name by filling the missing letters around those key words.
If this can be based on some well-known source would be the best.
Jewel and Trash
Good name in Man, and woman (dear my Lord) 
Is the immediate Jewel of their Souls;
Who steal my purse, steal trash: 
It's something, nothing;
It was mine, it's his, and has been slave to thousands:
But he that filches from me my good Name,
Robs me of that, which not enriches him,
And makes me poor indeed.
 purse: wealth (OED 2a); a poet's wealth is his verse.
Who steal my purse: spells Christopher Marlowe except letter c.
 mine: Marlowe's verse.
thousands: the audience, readers.
 filches: someone filches Marlowe's good name.
[7, 8] him, And makes me poor: spells Shakespeare (makes, poor).
 indeed: a wordplay of in deed; "indeed" is taken from Sidney.
makes me poor indeed: spells Mary Sidney, who makes Marlowe
poor in deed.
It's Mary Sidney's Shakespeare that filches Marlowe's good name.
Over a thousand such anagrams exist in Shakespeare's works. They realize the first fuzzy logic in literature, well-planned.
Shaked Her Speare
E.K.'s comment about Bellona in The Shephearses Calender (1579) gives the origin of the name of Shakespeare.
Queint) strange Bellona ... which the Lady disdeigning, shaked her speare at him, and threatened his sauciness.The name Bellona appears only once in the First Folio:
Till that Bellona's Bridegroom, lapped in proof,"Bellona's Bridegroom" can spell Mary Sidney; "that Bellona's Bridegroom" can spell Mary Sidney Herbert. The second line, "with self-comparisons" can spell Christopher Marlowe.
Confronted him with self-comparisons, (Macbeth)
Areopagus (Ares Rock) is a literary circle led by Philip Sidney; Shakespeare (Bellona's spear), by Mary Sidney. Bellona is the consort of Ares (Mars).
Judas to Jude Ass
HOLOFERNES. Judas I am.
DUMAINE. A Judas?
HOLOFERNES. Not Iscariot sir. Judas I am, yclept Maccabaeus.
DUMAINE. Judas Maccabaeus clipped, is plain Judas.
. . .
BOYET. Therefore as he is, an Ass, let him go:
And so adieu sweet Jude. Nay, why dost thou stay?
DUMAINE. For the latter end of his name.
BEROWNE. For the Ass to the Jude: give it him. Jud-as away.
In the deuterocanonical Book of Judith, the general Holofernes is beheaded by a Hebrew widow Judith. Jude hints at Judith. This dialogue demonstrates how one-way anagram works in Shakespeare.
Jude Ass is a one-way anagram of "adieu sweet."