Tanach · Acharonim on Tanach · Or HaChaim · Torah
Or HaChaim on Numbers 23:8/אור החיים על במדבר כ״ג:ח׳
אמָה אֶקֹּב לֹא קַבֹּה וְגוֹ׳ כִּי מֵרֹאשׁ וְגוֹ׳. קָשֶׁה, אִם ה׳ קִלְּלוֹ לָזֶה מַה מָקוֹם לְקַלְּלוֹ בִּלְעָם, גַּם אִם זָעַם בּוֹ ה׳ מַה צוֹרֶךְ בִּזְעִימַת בִּלְעָם? הֲלֹא לֹא קָרָא לוֹ בָּלָק אֶלָּא לְקַלֵּל לְמִי שֶׁאֵינוֹ מְקֻלָּל וְגוֹ׳. עוֹד צָרִיךְ לָדַעַת מַה נְתִינַת טַעַם בְּמַאֲמַר כִּי מֵרֹאשׁ צוּרִים וְגוֹ׳ לְמַאֲמַר מָה אֶקֹּב וְגוֹ׳.
1 מה אקב לא קבה קל, "how can I curse when G'd has not cursed ( first)?" The problem with this verse is that if G'd had indeed cursed Israel why would there be any need for Bileam to do the same? Balak had obviously invited Bileam to curse people whom G'd had not cursed! Besides what did Bileam mean when he added in verse 9 as justification for his curse or otherwise that he had observed the Isaelites "from the the top of rocks?" What did this detail have to do with cursing or failing to curse the people?
בוְלַעֲמֹד עַל כַּוָּנַת הַדְּבָרִים יֵשׁ לְהָעִיר בְּעִקַּר הַדָּבָר שֶׁל הָאִישׁ הַמְּקֻלָּל, מִמָּה נַפְשָׁךְ: אִם הוּא חַיָּב כְּפִי הַדִּין רָעָה הַבָּאָה עָלָיו בְּאֶמְצָעוּת הַקְּלָלָה, עַל כָּל פָּנִים לֹא יִנָּצֵל מִמֶּנָּה גַּם כִּי לֹא יְקֻלַּל, וְאִם הוּא כְּפִי מִשְׁפַּט אֱלֹהִים לֹא עָשָׂה דָּבָר שֶׁיִּתְחַיֵּב עָלָיו בִּיאַת הָרַע, קִלְלָתוֹ תָּשׁוּב עַל רֹאשׁ הַמְּקַלֵּל. בִּשְׁלָמָא הַבְּרָכָה, לְפִי שֶׁמִּדָּה טוֹבָה מְרֻבָּה, גַּם לַעֲשׂוֹת ה׳ רְצוֹן יְדִידָיו לְבָרֵךְ הַמִּתְבָּרְכִים מֵהֶם בְּמִדַּת הַחֶסֶד תְּקֻבַּל בִּרְכָתוֹ גַּם לְמִי שֶׁאֵינוֹ רָאוּי לָהּ כְּמוֹ מַעֲשָׂיו, מַה שֶׁאֵין כֵּן מִדָּה רָעָה – כִּי לֹא יָרֵעַ ה׳ לְאָדָם חִנָּם חָס וְשָׁלוֹם.
2In order to understand the matter properly we must first discuss the condition of the person or people who have been subjected to a curse. If the accursed had been guilty he will obviously suffer harm for his guilt even if he had not been cursed at all. If, on the other hand, the person who was subjected to a curse was innocent, and had not done anything which would make him subject to punishment at the hands of G'd, the curse would boomerang on the one who uttered it. The difference between blessings and curses is that if someone receives a blessing though he did not do anything to deserve it, seeing that the power of good exceeds that of the power of evil, the recipient of the blessing will enjoy it though he may not have done anything to deserve it. However, G'd would certainly not cause harm to a person who did not deserve to come to harm.
גאָכֵן עִקַּר הַדָּבָר הוּא לְפִי שֶׁמִּדָּתוֹ יִתְבָּרַךְ לְהַאֲרִיךְ אַפּוֹ לְעוֹבְרֵי רְצוֹנוֹ, בֵּין לְצַדִּיק כְּשֶׁיֶּחֱטָא בֵּין לְרָשָׁע הֲגַם שֶׁיִּרְצֶה לַחֲטֹא, וּמִדָּה זוֹ הִיא אַחַת מִשְּׁלֹשׁ עֶשְׂרֵה מִדּוֹת רַחֲמִים שֶׁנֶּאֶמְרוּ לְמֹשֶׁה וְנוֹהֶגֶת תָּמִיד, זוּלַת בְּעֵת אֲשֶׁר יִזְעוֹם ה׳, דִּכְתִיב ״כִּי רֶגַע בְּאַפּוֹ״ (תהילים ל:ו), אָז מִתְגַּבְּרִים הַדִּינִים עַל הַנִּתְבָּע בַּמִּשְׁפָּט בְּאוֹתוֹ זְמַן וְלֹא תִתְנַהֵג מִדָּה זוֹ שֶׁל אֶרֶךְ אַפַּיִם. וּכְמוֹ כֵן כְּשֶׁיְּקַלֵּל אָדָם אֶת חֲבֵרוֹ תְּסוֹבֵב הַקְּלָלָה שֶׁעֲוֹנוֹתָיו אֲשֶׁר ה׳ מַאֲרִיךְ לוֹ אַפּוֹ עֲלֵיהֶם יְמַהֵר לִפָּרַע מִמֶּנּוּ. אֲבָל אִם אֵין לוֹ עָוֹן לֹא תוֹעִיל קִלְלַת הַמְּקַלֵּל כְּלוּם.
3The principal effect of a curse then has to do with G'd's attribute of extending His patience to the sinners and delaying their punishment. G'd's patience extends both to the righteous and to the wicked who are bent on sinning. It is one of the thirteen attributes G'd revealed to Moses and operates at all times when G'd is not angry. G'd's anger, however, is shortlived as we know from Psalms 30,6 "for He is angry but for a moment." At such a time the attribute of Justice is in the ascendancy and the attribute of ארך אפים is temporarily suspended. Similarly, when a person curses his fellow man the effect of the curse is that G'd will no longer extend His attibute of ארך אפים to the guilty person who has now also been cursed. As a result, the attribute of patience may be suspended as far as that person is concerned. If the person cursed did not have to depend on the attribute of ארך אפים, G'd's patience, in the first place, then the curse is quite ineffective against him.
דעוֹד אַשְׂכִּילְךָ כִּי כָל עוֹשֶׂה רֶשַׁע יַפְעִיל פְּגָם בְּמִדָּה עֶלְיוֹנָה בֶּעָנָף הַהוּא שֶׁתְּלוּיָה אוֹתָהּ מִצְוָה שֶׁעָבַר עָלֶיהָ, וְלֹא בְּכָל הַמִּדָּה הוּא פּוֹגֵם אֶלָּא בְּשֹׁרֶשׁ נִשְׁמָתוֹ. וְהַפְּגָם הוּא שֶׁתִּהְיֶה אֲחִיזָה לַחֵלֶק הַמְּרֻחָק לַעֲמֹד שָׁם וְלֵיהָנוֹת מִמְּקוֹר הַחַיִּים, וְחֵלֶק זֶה הַמְּרֻחָק נָעוּץ סוֹפוֹ בְּתוֹךְ הַחוֹטֵא וְרֹאשׁוֹ יוֹנֵק מִמָּקוֹם שֹׁרֶשׁ הַנֶּפֶשׁ הַחוֹטֵאת. וְזֶה יִהְיֶה כָּל עוֹד שֶׁלֹּא שָׁב הָאָדָם בִּתְשׁוּבָה אוֹ לֹא נִפְרַע עַל חֶטְאוֹ. וְזֶה הוּא סוֹד ״נוֹשֵׂא עָוֹן״ שֶׁאָמְרוּ רַזַ״ל שֶׁה׳ מְפַרְנֵס הַקָּטֵגוֹר הַנִּבְרָא מֵחֵטְא הָאָדָם, וְכִי הוּא זֶה הַנִּפְרָע מֵהָאָדָם עַצְמוֹ (זוהר חלק ג פג:) כְּאָמְרוֹ (ירמיהו ב:יט) ״תְּיַסְּרֵךְ רָעָתֵךְ״, וּכְתִיב (ישעיהו סד:ו) ״וַתְּמוּגֵנוּ בְּיַד״ וְגוֹ׳, וְהָאִישׁ הַמְּקַלֵּל יְעוֹרֵר הַדִּין בְּכֹחַ הַקְּלָלָה בְּעֵת הַזַּעַם לְמַהֵר לְהַשְׁלִיט הַשַּׁלִּיט בְּאָדָם לְרַע לוֹ.
4Let me explain something else. Every person who commits a sin thereby causes some blemish in the particular מדה, virtue, in the Celestial regions which fulfilment of the commandment he did not fulfil was intended to strengthen. He does not thereby destroy the entire מדה, attribute or virtue, but he causes damage to the root of his soul. The damage expresses itself in that certain spiritually negative forces which ought not to possess any hold on his soul (the sinner's) have been enabled to lay some claim to his soul. These forces now enjoy what should have been the exclusive source of life for the individual who has now sinned. If this process continues, the spiritually negative forces eventually gain a hold on the personality of the sinner. This results in his imbibing their spiritual values instead of the holy and pure spiritual values of his soul's counterpart in Heaven. This process, of course, assumes that the sinner has not done תשובה in the meantime, or has not been punished for his sin. This is the mystical dimension of what the Torah has called נושא עון, of which our sages have said that it means that G'd nourishes the accuser which was created by means of the sin committed by man. This is the force which will punish the sinner (Zohar volume 3 page 83). This concept is based on Jeremiah 2,19: "the evil which you yourself have created will be what will discipline you." We have a verse in Isaiah 64,6: "and our iniquities have made us melt," which expresses a similar thought. The person who utters the curse sets in motion retribution long delayed because of certain attributes of G'd at a time when G'd's anger had not yet been aroused.
העוֹד יֵשׁ לָדַעַת כִּי חֵלֶק הָאָרוּר יִקָּרֵא בְּשֵׁם זֶה קְלָלָה וּזְעִימָה, וְכֵן קְרָאָם הַכָּתוּב דִּכְתִיב (דברים כ״ח:כ׳) ״יְשַׁלַּח ה׳ וְגוֹ׳ אֶת הַמְּאֵרָה וְגוֹ׳ וְאֶת הַמִּגְעֶרֶת״, וְהֵם שְׁמוֹת כִּתּוֹת הַמְּחַבְּלִים. קְלָלָה הוּא כְּנֶגֶד עֲבֵרוֹת חֲמוּרוֹת, וְזַעַם כְּנֶגֶד עֲבֵרוֹת קַלּוֹת. וְלָזֶה כְּשֶׁהָיָה בִּלְעָם רוֹצֶה לְקַלֵּל אוּמָּה הָיָה בּוֹחֵר עֵת הַזַּעַם, וּלְצַד הֱיוֹתָם כֻּלָּם זְעוּמִים בִּשְׁבִיל מַעֲשֵׂיהֶם הָרָעִים, הָיוּ דְּבָרָיו מוֹעִילִים לָהֶם. וְחָשַׁב בָּלָק כִּי עַם בְּנֵי יִשְׂרָאֵל לֹא יֶחְדַּל מֵהֶם עָוֹן, וּכְשָׁפָיו יַגִּידוּ לוֹ כִּי לֹא נִמְלְטוּ מִתַּחֲלוּאֵי הַנֶּפֶשׁ שֶׁהוּא עָנָף הַמְּרֻחָק כְּמוֹ שֶׁאָמַרְנוּ, לָזֶה אָמַר בִּלְעָם מָה אֶקֹּב וְגוֹ׳, פֵּרוּשׁ כִּי בְּכָל עַנְפֵי הַקְּדֻשָּׁה שֶׁבָּהּ נֶאֱחָזִים עַם בְּנֵי יִשְׂרָאֵל, אֵין בּוֹ בַּשֹּׁרֶשׁ הָעֶלְיוֹן שׁוּם שְׁלִיטָה מֵחֵלֶק הַמְּרֻחָק שֶׁבְּאֶמְצָעוּתוֹ יְעוֹרֵר הַדִּין עֲלֵיהֶם.
5Another factor we have to keep in mind is that the curse itself- something we normally perceive as abstact becomes concretised- and the destructive force it represents assumes the very "name" of the curse itself. We know this from Deut. 28,20 where G'd threatens to send the מארה, or the מגערת, "the curse or the rebuke." These are names for categories of destructive forces. The word קללה describes the category of curse resulting from the commission of a serious sin, whereas the word זעם describes the destructive force created by relatively minor sins. To sum up, when Bileam wished to curse a nation he chose the time when they were all guilty at least of relatively minor sins. Inasmuch as most people are guilty of some sins almost all of the time Bileam could expect his words to be effective. He employed his sorcery to determine if at that time most of the Israelites still suffered from sins which they had not repented or for which they had not as yet been punished. Having examined the status of the Jewish people on that basis, he came to the regretful conclusion of מה אקב, "how can I be expected to make a curse effective" seeing that the spiritually negative forces had not been able to establish their hold on any part of the collective Jewish soul, their holy roots? The Israelites were so innocent at the time that Bileam was not able to activate sins they had committed to act as a curse against them.
ווְהִנֵּה שְׁתֵּי מִדּוֹת עֶלְיוֹנוֹת שֶׁיִּשְׂרָאֵל מִתְיַחֲסִים עֲלֵיהֶם, שֵׁם אֵל וְשֵׁם הוי״ה בָּרוּךְ הוּא. שֵׁם אֵל – שֶׁכֵּן נִקְרָא יַעֲקֹב ״יִשְׂרָאֵל״, פֵּרוּשׁ: יָשָׁר אֵל, לִשְׁלֹל אֶל הַשֹּׁרֶשׁ מָקוֹם שֶׁהוּא בְּחִינַת הָרַע וְהוּא חֵלֶק הַמְּרֻחָק, וְשֵׁם הוי״ה דִּכְתִיב (דברים לב:ט) ״כִּי חֵלֶק ה׳ עַמּוֹ״, וְהֵם שְׁתֵּי הַדְּרָגוֹת הַקְּדוֹשָׁה שֶׁהִשִּׂיגוּ יִשְׂרָאֵל. וְלָזֶה אָמַר מָה אֶקֹּב לֹא קַבֹּה אֵל, כִּי שֹׁרֶשׁ נִשְׁמָתָם שֶׁבִּבְחִינָה זוֹ אֵין בּוֹ רֹשֶׁם מִזֶּה חֵלֶק הָרַע כְּמוֹ שֶׁאָמַרְנוּ לְמַעְלָה. גַּם בְּעֵרֶךְ מָקוֹם עֶלְיוֹן שֶׁהֵם שָׁרְשֵׁי נִשְׁמוֹת הַצַּדִּיקִים שֶׁבִּבְחִינַת שֵׁם הוי״ה לֹא זָעַם ה׳, פֵּרוּשׁ אֲפִלּוּ דִּקְדּוּקִים שֶׁה׳ מְדַקְדֵּק עִם הַצַּדִּיקִים לֹא נִמְצָא שָׁם. וּמֵעַתָּה מַה יוֹעִילוּ קִלְלוֹתָיו וּזְעָמָיו? וְתֹאמַר שֶׁיְּחַפֵּשׂ בְּשֹׁרֶשׁ הַקּוֹדֵם לָהֶם וּבָעֲנָפִים הַסּוֹבְבִים, לָזֶה בִּטֵּל טַעֲנָה זוֹ מִטַּעַם שֶׁבִּקֵּשׁ וְלֹא מָצָא, וְהוּא אָמְרוֹ כִּי מֵרֹאשׁ צֻרִים אֶרְאֶנּוּ וְגוֹ׳, פֵּרוּשׁ צוּרִים הֵם הָאָבוֹת כַּיָּדוּעַ, וְהוּא הִבִּיט וְרָאָה רֹאשׁ הַצּוּרִים שֶׁהֵם תֶּרַח וַאֲבוֹתָיו וְלֹא רָאָה מָקוֹם שֶׁמִּמֶּנּוּ יְעוֹרֵר הַדִּינִים עֲלֵיהֶם.
6Bileam had examined the Israelites on two separate levels of their relationship with G'd, i.e. their relationship to the attribute א־ל as well as their relationship to the attribute י־ה־ו־ה. The former attribute reflects the fact that G'd had changed Jacob's name to ישר־א־ל, meaning upright, honest, not crooked. The change of name had been a recognition that none of the spiritually negative forces had been able gain a foothold on the holy soul of Israel. The ineffable 4-lettered name is mentioned as an integral part of the Jewish people in Deut. 32,9 כי חלק י־ה־ו־ה עמו, "for the ineffable name has become a part of His people." Bileam therefore found out that Israel had not forfeited either of these two distinctions at that time. They had not even committed the kinds of minor sins which might deprive them of the close association with G'd's four-lettered name. Under these circumstances what possible good could Bileam's curses do? If you were to say that Bileam could have gone back to earlier times and have searched out sins the Jews had committed which would have tainted some part of their holy roots, the Torah says כי מראש צורים אראנו, that Bileam referred to his investigation of Israel's past -the צורים being a reference to the patriarchs,- whereas the ראש refers to Abraham's father Terach. Bileam found to his regret that even in Israel's distant past there were no residual sins which would now make his curse take hold.
זוְשִׁיעוּר הַכָּתוּב הוּא עַל זֶה הַדֶּרֶךְ, כִּי טַעַם שֶׁאֲנִי אוֹמֵר לֹא זָעַם וְלֹא קַבֹּה, לֹא שֶׁבִּקַּשְׁתִּי בְּחֵלֶק מֵהֶם לְבַד, לֹא כֵן הוּא, אֶלָּא אֲנִי רוֹאֶה רֹאשׁ צוּרִים, גַּם חִפֵּשׂ אַחַר שֹׁרֶשׁ הָאִמָּהוֹת, וְהוּא אָמְרוֹ ״וּמִגְּבָעוֹת אֲשׁוּרֶנּוּ״, וּבְכָל זֶה לֹא מָצָא מָקוֹם שֶׁיִּכָּנֵס דֶּרֶךְ שָׁם. וְלֶהֱיוֹת שֶׁיֵּשׁ לְהַקְשׁוֹת בַּדָּבָר, אֵיךְ יִתָּכֵן שֶׁלֹּא מָצָא נֶגַע בָּרִאשׁוֹנִים תֶּרַח וַאֲבוֹתָיו גַּם בְּתוּאֵל וְלָבָן, לָזֶה אָמַר הֶן עָם לְבָדָד יִשְׁכֹּן וּבַגּוֹיִם לֹא יִתְחַשָּׁב, פֵּרוּשׁ לְבָדָד, שֶׁאֵין שָׁרְשׁוֹ מִשֹּׁרֶשׁ תֶּרַח וַאֲבוֹתָיו וּמִמִּין עָנָף הַהוּא, אֶלָּא לְבָדָד מִין מַחְצַב נִשְׁמוֹת יִשְׂרָאֵל, אֵין לוֹ שׁוּם קוּרְבָה מֵהַמּוֹלִידִים. וְאָמְרוֹ וּבַגּוֹיִם לֹא יִתְחַשָּׁב, פֵּרוּשׁ שֶׁאֲפִלּוּ עִם אוֹתָם שֶׁנִּקְרָאִים גּוֹיִם, שֶׁהֵם אֲחֵיהֶם מַמָּשׁ, וְהֵם יִשְׁמָעֵאל וְעֵשָׂו שֶׁשְּׁנֵיהֶם נִקְרָאִים גּוֹיִם, יִשְׁמָעֵאל דִּכְתִיב (בראשית י״ז:כ׳) ״וּנְתַתִּיו לְגוֹי גָּדוֹל״, וְעֵשָׂו דִּכְתִיב (בראשית כ״ה:כ״ג) ״שְׁנֵי גוֹיִם״ – לֹא יִתְחַשָּׁב. וְכֵן אָמַר ה׳ לְאַבְרָהָם (בראשית כ״א:י״ב) כִּי בְיִצְחָק יִקָּרֵא לְךָ זָרַע, לְמַעֵט יִשְׁמָעֵאל וְעֵשָׂו שֶׁאֵינָם נֶחְשָׁבִים זַרְעוֹ. מֵעַתָּה אֵין מָקוֹם לְקַלֵּל לְיִשְׂרָאֵל לֹא לַצַּדִּיקִים וְלֹא לַבֵּינוֹנִים. וַהֲגַם שֶׁהָיוּ בְּיַד יִשְׂרָאֵל עֲוֹנוֹת עֲוֹן הָעֵגֶל וְהַמְרַגְּלִים וְכַדּוֹמֶה, כְּבָר אָמַר ה׳ עֲלֵיהֶם לְשׁוֹן סְלִיחָה. וְאוּלַי כִּי לְטַעַם זֶה לֹא הָיָה ה׳ מִתְכַּעֵס כָּל אוֹתָם הַיָּמִים שֶׁהָיָה בִּלְעָם רוֹצֶה לְקַלֵּל חָס וְשָׁלוֹם.
7We may understand the meter of our verse as being that Bileam says in effect: "the reason I say that G'd is not mildly or severely angry at this people and has not cursed them in any way is not only that I have made a superficial examination of them. I have examined every aspect of this people, i.e. מראש צורים, and have come up with a blank. Not only that but ומגבעות אשורנו, (verse 9) I have even examined their maternal ancestry, their matriarchs, and I have not been able to find any kind of defect in the root of their holy soul that would allow my curse to take hold." We may be surprised at that as we know that Terach was an idol worshiper and so were Bethuel and Laban. We would have assumed that such an association would have left a mark on the holy soul of this people! Bileam answers this by saying הן עם לבדד ישכון ובגוים לא יתחשב. "They are a nation that lives in solitude and does not consider itself as part of the nations surrounding it." They do not share a common root with Terach and his ancestors, their soul is not part of that branch. Their collective soul has been hewn out of a separate "quarry," the one all Israelite souls emanate from. The words "and does not consider itself as part of the surrounding nations" includes even those nations who consider themselves closely related to the Jewish people through common ancestors. Bileam referred to Ishmael and Esau both of whom are called גוים in the Torah. The Torah mentions that Ishmael is a גוי in Genesis 17,20: "I will make him into a great nation." In Genesis 25,23 when G'd tells Rebeccah that she will give birth to twins, the Torah states that both children will develop into nations, שני גויים בבטנך, "you have two nations in your womb." However, in Genesis 21,12, G'd made it plain to Abraham that He would only consider his son Isaac as his true seed. This excluded Ishmael and Esau from being considered as true descendants of Abraham, descendants whose task it was to carry on Abraham's contribution to establishing the kingdom of G'd on earth. In view of all this Bileam could not find any way to make a curse against Israel stick, not against the average Israelites, and certainly not against the elite, the righteous. While it is true that the Israelites had been guilty of the sin of the golden calf plus that of the spies who had caused the whole nation to reject the land of Israel some 38 years ago, G'd had already said clearly that He had forgiven the people for those sins. Perhaps the reason that G'd did not display His anger against them during the last 38 years was to deprive Bileam of the opportunity to make a curse against them effective.
חעוֹד יְכַוֵּן בְּאָמְרוֹ הֶן עָם וְגוֹ׳, מַתְמִיהַּ עַל בָּלָק שֶׁרוֹצֶה לְקַלֵּל יִשְׂרָאֵל, וְאָמַר: ״הֶן עָם״ – זֶה הוּא הָעוֹמֵד אַחַר כְּלוֹת כָּל הָאֻמּוֹת, יַעֲמֹד בָּדָד יִשְׁכֹּן, וְכָל הָאֻמּוֹת אֵין מִבְטָח לָהֶם אֲפִלּוּ שָׁנִים רַבּוֹת, וְאֵיךְ רוֹצֶה לַעֲקֹר אֻמָּה הַמִּתְקַיֶּמֶת עַד סוֹף הָעוֹלָם. וְאָמְרוֹ וּבַגּוֹיִם לֹא יִתְחַשָּׁב, פֵּרוּשׁ, לֹא בָּא לְגֶדֶר חֶשְׁבּוֹן מַעֲלָתָם כְּשֶׁיִּהְיוּ לְבָדָד, כִּי אֵין דּוֹמֶה לָהֶם בְּכָל הַגְּדֻלּוֹת שֶׁיַּגִּיעוּ הָאֻמּוֹת.
8It is also possible that by saying the words הן עם, "lo, it is a people," Bileam expressed his amazement at Balak's wanting to curse such a people. Bileam hinted that in view of the fact that this was a nation which would survive all other nations in solitary splendour, how could nations which were not even assured of a relatively lengthy existence in the course of human history presume to curse them effectively? How could Moav which itself was slated for extinction presume to uproot a nation whose future is eternal? When Bileam added: ובגוים לא יתחשב, this means that when it comes to enumerating the various virtues and accomplishments of other nations, Israel is not even in the same league; its merits are incomparably greater and not to be measured with the nations at large.