Final answer:
The statement is true as various religious texts suggest that God will consider a person's faith and good intentions, as supported by Q. 2.62 and Psalm 145:9. However, considerations of predestination in Calvinist theology indicate that salvation is predetermined, though this does not necessarily pertain to individual acts or offers.
Step-by-step explanation:
The statement that 'the lord will accept an offer or act that he did not ask for, because he will take into consideration the person's faith and good intentions' (132:8-11) can be considered true based on various passages from religious texts. For instance, according to Q. 2.62, those who believe and perform good works, regardless of their religious affiliation, will be rewarded.
Psalm 145:9 also supports the idea that the LORD is compassionate to all. However, the acceptance of an offering is conditional to faith and fear of God, as indicated in the tale of the two sons of Adam, where God accepted an offering from the one who was god-fearing and rejected the other. It is also important the doctrine of predestination, particularly in Calvinist theology, which suggests that the fate of a person's soul is predetermined.
While Calvin recognized the role of faith in salvation, he believed it was impossible to influence God's will. However, this perspective does not necessarily negate the possibility that God may consider a person's faith and good intentions, as the doctrine primarily addresses salvation rather than individual offers or acts.