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***Perhaps I am completely misunderstanding your posts, but are you saying that only those things, places or events in the OT that are alluded to allegorically in the NT can properly be called "types?"***

No. I am saying that caution must be exercised that we do not read meaning into the text which was not intended. Otherwise, allegorists are unrestrained.

***For example, to my knowledge, Abraham's abortive sacrifice of his son Isaac is not spoken of in the NT as a type of the Father's offering up the Son as a sacrifice. Would you say that it was "speculation" to say that the former event was a "type" of the latter, or that Isaac was a "type" of Jesus? ***

It is true that the word type is not used of Abraham's offering of Isaac, however, the book of Hebrews make the correlation plain...

Hebrews 11:17 By faith Abraham, when he was tried, offered up Isaac: and he that had received the promises offered up his only begotten son, 18 Of whom it was said, That in Isaac shall thy seed be called: 19 Accounting that God was able to raise him up, even from the dead; from whence also he received him in a figure [PARABOLH).

The linkage between the Passover and Christ is plain (1 Corinthians 5:7). Between Adam and Christ is plain (Ro. 5:14), etc.

Here is some material I pulled together a while back:

Degree of Cerrtainty in Types:
[1] Innate Types - types specifically declared as such in the New Testament.

[2] Inferred Types - types intended by the Holy Spirit but not declared as such.

”It can not be emphasized too strongly that types which do not have express scriptural authority are illustrative rather than proof for doctrinal points.” Walvoord

[3] Invented Types - speculative types, eisegesis.

“Temptations to be novel, clever, original or shocking should be resisted... A teacher of the Bible should not boast of finding more types than other teachers because he is more spiritual.” Ramm

“Typology has suffered more from its friends than its foes.” Chafer

The linkage between the Passover and Christ is plain (1 Corinthians 5:7). Between Adam and Christ is plain (Ro. 5:14), etc.

We would argue similarly that the linkage between Mary and the Ark of the Covenant is plain - (Rev. 11.19-12.1).

Innate Types - types specifically declared as such in the New Testament.

You mean like:

Manna and the Most Blessed Sacrament.

Creation of Adam and the priestly power of forgiving sins.

The Sacrifice of the Mass and the Sacrifice of Melchizedek.