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3 Original phrasing made it seem like it was an acronym.
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If צח"ק stands forצחק refers to the 3 worst misdeeds why Itzchak was called so?

On the Posuk: "וַתֵּרֶא שָׂרָה אֶת־בֶּן־הָגָר הַמִּצְרִית אֲשֶׁר־יָלְדָה לְאַבְרָהָם מְצַחֵק׃" Rashi (Gen 21.9) explains the meaning of the root צח"קצחק:

מצחק: לְשׁוֹן עֲ"זָ, כְּמוֹ שֶׁנֶּאֱמַר וַיָּקֻמוּ לְצַחֵק ,
דָּ"אַ לְשׁוֹן גִּלּוּי עֲרָיוֹת, כְּמָה דְּתֵימָא לְצַחֶק בִּי,
דָּ"אַ לְשׁוֹן רְצִיחָה, כְּמוֹ יָקוּמוּ נָא הַנְּעָרִים וִישַׂחֲקוּ לְפָנֵינוּ וְגוֹ'

This means worshipping idols,
... Another explanation is that it refers to immoral conduct,
...Another explanation is that it refers to a murder

If that's the meaning of the root, how our forefather could be named Itzchak?

If צח"ק stands for the 3 worst misdeeds why Itzchak was called so?

On the Posuk: "וַתֵּרֶא שָׂרָה אֶת־בֶּן־הָגָר הַמִּצְרִית אֲשֶׁר־יָלְדָה לְאַבְרָהָם מְצַחֵק׃" Rashi (Gen 21.9) explains the meaning of the root צח"ק:

מצחק: לְשׁוֹן עֲ"זָ, כְּמוֹ שֶׁנֶּאֱמַר וַיָּקֻמוּ לְצַחֵק ,
דָּ"אַ לְשׁוֹן גִּלּוּי עֲרָיוֹת, כְּמָה דְּתֵימָא לְצַחֶק בִּי,
דָּ"אַ לְשׁוֹן רְצִיחָה, כְּמוֹ יָקוּמוּ נָא הַנְּעָרִים וִישַׂחֲקוּ לְפָנֵינוּ וְגוֹ'

This means worshipping idols,
... Another explanation is that it refers to immoral conduct,
...Another explanation is that it refers to a murder

If that's the meaning of the root, how our forefather could be named Itzchak?

If צחק refers to the 3 worst misdeeds why Itzchak was called so?

On the Posuk: "וַתֵּרֶא שָׂרָה אֶת־בֶּן־הָגָר הַמִּצְרִית אֲשֶׁר־יָלְדָה לְאַבְרָהָם מְצַחֵק׃" Rashi (Gen 21.9) explains the meaning of the root צחק:

מצחק: לְשׁוֹן עֲ"זָ, כְּמוֹ שֶׁנֶּאֱמַר וַיָּקֻמוּ לְצַחֵק ,
דָּ"אַ לְשׁוֹן גִּלּוּי עֲרָיוֹת, כְּמָה דְּתֵימָא לְצַחֶק בִּי,
דָּ"אַ לְשׁוֹן רְצִיחָה, כְּמוֹ יָקוּמוּ נָא הַנְּעָרִים וִישַׂחֲקוּ לְפָנֵינוּ וְגוֹ'

This means worshipping idols,
... Another explanation is that it refers to immoral conduct,
...Another explanation is that it refers to a murder

If that's the meaning of the root, how our forefather could be named Itzchak?

2 fix typo
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On the Posuk: "וַתֵּרֶא שָׂרָה אֶת־בֶּן־הָגָר הַמִּצְרִית אֲשֶׁר־יָלְדָה לְאַבְרָהָם מְצַחֵק׃" Rashi (Gen 1221.9) explains the meaning of the root צח"ק:

מצחק: לְשׁוֹן עֲ"זָ, כְּמוֹ שֶׁנֶּאֱמַר וַיָּקֻמוּ לְצַחֵק ,
דָּ"אַ לְשׁוֹן גִּלּוּי עֲרָיוֹת, כְּמָה דְּתֵימָא לְצַחֶק בִּי,
דָּ"אַ לְשׁוֹן רְצִיחָה, כְּמוֹ יָקוּמוּ נָא הַנְּעָרִים וִישַׂחֲקוּ לְפָנֵינוּ וְגוֹ'

This means worshipping idols,
... Another explanation is that it refers to immoral conduct,
...Another explanation is that it refers to a murder

If that's the meaning of the root, how our forefather could be named Itzchak?

On the Posuk: "וַתֵּרֶא שָׂרָה אֶת־בֶּן־הָגָר הַמִּצְרִית אֲשֶׁר־יָלְדָה לְאַבְרָהָם מְצַחֵק׃" Rashi (Gen 12.9) explains the meaning of the root צח"ק:

מצחק: לְשׁוֹן עֲ"זָ, כְּמוֹ שֶׁנֶּאֱמַר וַיָּקֻמוּ לְצַחֵק ,
דָּ"אַ לְשׁוֹן גִּלּוּי עֲרָיוֹת, כְּמָה דְּתֵימָא לְצַחֶק בִּי,
דָּ"אַ לְשׁוֹן רְצִיחָה, כְּמוֹ יָקוּמוּ נָא הַנְּעָרִים וִישַׂחֲקוּ לְפָנֵינוּ וְגוֹ'

This means worshipping idols,
... Another explanation is that it refers to immoral conduct,
...Another explanation is that it refers to a murder

If that's the meaning of the root, how our forefather could be named Itzchak?

On the Posuk: "וַתֵּרֶא שָׂרָה אֶת־בֶּן־הָגָר הַמִּצְרִית אֲשֶׁר־יָלְדָה לְאַבְרָהָם מְצַחֵק׃" Rashi (Gen 21.9) explains the meaning of the root צח"ק:

מצחק: לְשׁוֹן עֲ"זָ, כְּמוֹ שֶׁנֶּאֱמַר וַיָּקֻמוּ לְצַחֵק ,
דָּ"אַ לְשׁוֹן גִּלּוּי עֲרָיוֹת, כְּמָה דְּתֵימָא לְצַחֶק בִּי,
דָּ"אַ לְשׁוֹן רְצִיחָה, כְּמוֹ יָקוּמוּ נָא הַנְּעָרִים וִישַׂחֲקוּ לְפָנֵינוּ וְגוֹ'

This means worshipping idols,
... Another explanation is that it refers to immoral conduct,
...Another explanation is that it refers to a murder

If that's the meaning of the root, how our forefather could be named Itzchak?

1
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If צח"ק stands for the 3 worst misdeeds why Itzchak was called so?

On the Posuk: "וַתֵּרֶא שָׂרָה אֶת־בֶּן־הָגָר הַמִּצְרִית אֲשֶׁר־יָלְדָה לְאַבְרָהָם מְצַחֵק׃" Rashi (Gen 12.9) explains the meaning of the root צח"ק:

מצחק: לְשׁוֹן עֲ"זָ, כְּמוֹ שֶׁנֶּאֱמַר וַיָּקֻמוּ לְצַחֵק ,
דָּ"אַ לְשׁוֹן גִּלּוּי עֲרָיוֹת, כְּמָה דְּתֵימָא לְצַחֶק בִּי,
דָּ"אַ לְשׁוֹן רְצִיחָה, כְּמוֹ יָקוּמוּ נָא הַנְּעָרִים וִישַׂחֲקוּ לְפָנֵינוּ וְגוֹ'

This means worshipping idols,
... Another explanation is that it refers to immoral conduct,
...Another explanation is that it refers to a murder

If that's the meaning of the root, how our forefather could be named Itzchak?