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Just doing some greek practice. Is it correct to say τῇ καρδίᾳ is "instrumental dative"? I know instrumental dative gives you "by" instead of "in" which the english translations use. But that seems to be a closer fit than treating it as normal dative (i.e. to/for).
I think this is a dative of respect. An instrumental dative would mean that they are cleansed by their heart, a dative of respect means the ones who are made clean in (with respect to) their hearts. See Funk's grammar, section 892.5:
The dative of respect (or relation) is used to denote the standard or person to which the assertion is limited (cf. the accusative of specification or respect, which is sometimes the virtual equivalent of the dative of respect, §894.6).
(56) ἥμην δὲ ἀγνοούμενος τῷ προσώπῳ
ταῖς ἐκκλησίαις τῆς Ἰουδαίας Gal 1:22
And I was unknown by sight to the churches
of Judea
Example (56) provides the basis for comparing respect (τῷ προσώπῳ, by face) and relation (ταῖς ἐκκλησίαις, to the churches) : The former refers to that with respect to which the assertion holds, the latter denotes the person with respect to whom the assertion holds. Cf. Bl-D §197, Smyth §§1495, 1512, 1516.
Funk addresses a similar example in section 703:
703. Adjective clusters with an attributive dative fall into a number of categories, depending on what the dative specifies. For convenience, noun clusters are also included here (§6990).
703.1 The dative may be a dative of respect (denoting the respect in which the attribution applies):
Hi Jonathan, Thanks so much for your detailed reply. I've so far just completed first year greek, so this form of dative is one I am not yet familiar with. Im looking forward to progressing to the next textbook. Thanks!