Wa `alaykkum salaam wa rahmatullaahi wa barakaatuh, jazakillaahu khairaa for the post ukhti. I would also like to add the explanation of Shaykh Saalih al Fawzaan (hafidhahullaah) of the Basmalah, if you don't mind.
"His saying (Bismillaahi...): The "Baa" is for seeking help and "ism" in the language is something which denotes a sense or a meaning. The grammarians (of the arabic language) say: "That which designates a meaning in itself and is not linked to any time period.
And (Allaah) is a proper name for the Sanctified Self (Adh-Dhaat al Muqaddasah) and its meaning is: The One Who has Uloohiyyah and `Uboodiyyah over all His creation. It (Allaah) is derived from allaha, yu'allihu, alooha (He was deified, He is deified, deification) with the meaning: He was worshipped, He is worshipped and Worship (ubida, yu'badu, ibaadah). So (Allaah) is a deity with the meaning: One who is worshipped
And (Ar-Rahmaan ar-Raheem) are two great names from among His beautiful Names which give evidence to his possessing Rahmah (mercy) as a characteristic and attribute in a manner which befits His Majesty. (Ar-Rahmaan) is the possessor of (that) mercy which is general (and operational) for the whole of the creation, and (Ar-Raheem) is the possessor of that (mercy) which is specific for the Believers as occurs in His saying: "And He is Ever Merciful (Raheemaa) to the Believers [Soorah 33: 43]"
- Explanation taken from his Sharh on `Aqeedatul Waasitiyyah
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And finally I would like to share Ibn `Uthaymeen's explanation, which I find to be amazing too and this was taken from his Sharh (explanation) on `Aqeedatul Waasitiyyah
" 'Allaah' is a proper noun that is used for Allaah Himself, the Mighty and Sublime. None can be named with it other than Him. It means the Ma'looh (Deified One), that is, He Who is worshipped with 'Love and veneration'. It is a derivation- according to the most correct view- based upon His, Ta`aala's statment:
"And He is Allaah in the heavens and on the earth, He knows what you conceal and what you reveal [Soorah 6:3]"
This is because 'in the heavens' refers back to the Word of the Majesty (the Name Allaah). So it means He is the Ma'looh (Deified One), both in the heavens, and on the earth.
- 'Ar-Rahmaan' means the Possessor of Extensive Mercy. Because in the arabic language, the Fa`laan form indicates extensiveness and fullness, as it is said: 'A man is ghadbaan (meaning angry- in the fa`laan form), when he is filled up with anger.
- 'Ar-Raheem' is a name that indicates the action (of bestowing mercy), because it is in the Fa`eel form but with the meaning of the doer. So it indicates the action.
Hence, 'Ar-Rahmaan ar-Raheem' will together imply that Allaah's Mercy is extensive and that it reaches creatures. This is what some scholars have indicated when they say that Ar-Rahmaan refers to Mercy in general, while Ar-Raheem refers to a Mercy that is specific for the believers. Therefore, since Allaah's Mercy for the disbelievers is specific to this world only, it is as if there is no mercy for them in the hereafter, because when they ask Allaah to remove them from the Fire, appealing to Allaah Ta`aala, by His Lordship and confessing against themselves:
Our Lord! Bring us out of this; if ever we return (to evil), then indeed we shall be unjust/wrongdoers. [Soorah 23: 107]
They will not meet Mercy, but rather Justice. Then Allaah, the Mighty and Sublime, will say to them (this comes in the very next ayah):
Remain you in it with ignominy! And speak you not to Me! [Soorah 23: 108]"
SubhanAllaah when I read the last ayah, I thought to myself, if Allaah `azza wa jall was to not speak to us, then is there anything worse in punishment than that?
May Allaah save us from a fire whose fuel is men and stones, aameen
Wassalaamu `alaykkum